I indeed used the Installer, but it simply didn't work.
Some Log here:
Considering library net.minecraftforge:forge:1.7.10-10.13.4.1448-1.7.10: Not Downloading
Considering library net.minecraft:launchwrapper:1.11
Considering library org.ow2.asm:asm-all:5.0.3
Considering library com.typesafe.akka:akka-actor_2.11:2.3.3
Checking "H:\Minecraft\Server_1.7.10_Modded\libraries\com\typesafe\akka\akka-actor_2.11\2.3.3\akka-actor_2.11-2.3.3.jar" internal checksums
checksums.sha1 validated successfully
Jar contents validated successfully
Considering library com.typesafe:config:1.2.1
Checking "H:\Minecraft\Server_1.7.10_Modded\libraries\com\typesafe\config\1.2.1\config-1.2.1.jar" internal checksums
checksums.sha1 validated successfully
Jar contents validated successfully
Considering library org.scala-lang:scala-actors-migration_2.11:1.1.0
Checking "H:\Minecraft\Server_1.7.10_Modded\libraries\org\scala-lang\scala-actors-migration_2.11\1.1.0\scala-actors-migration_2.11-1.1.0.jar" internal checksums
checksums.sha1 validated successfully
Jar contents validated successfully
Considering library org.scala-lang:scala-compiler:2.11.1
Checking "H:\Minecraft\Server_1.7.10_Modded\libraries\org\scala-lang\scala-compiler\2.11.1\scala-compiler-2.11.1.jar" internal checksums
checksums.sha1 validated successfully
Jar contents validated successfully
Considering library org.scala-lang.plugins:scala-continuations-library_2.11:1.0.2
Checking "H:\Minecraft\Server_1.7.10_Modded\libraries\org\scala-lang\plugins\scala-continuations-library_2.11\1.0.2\scala-continuations-library_2.11-1.0.2.jar" internal checksums
checksums.sha1 validated successfully
Jar contents validated successfully
Considering library org.scala-lang.plugins:scala-continuations-plugin_2.11.1:1.0.2
Checking "H:\Minecraft\Server_1.7.10_Modded\libraries\org\scala-lang\plugins\scala-continuations-plugin_2.11.1\1.0.2\scala-continuations-plugin_2.11.1-1.0.2.jar" internal checksums
checksums.sha1 validated successfully
Jar contents validated successfully
Considering library org.scala-lang:scala-library:2.11.1
Checking "H:\Minecraft\Server_1.7.10_Modded\libraries\org\scala-lang\scala-library\2.11.1\scala-library-2.11.1.jar" internal checksums
checksums.sha1 validated successfully
Jar contents validated successfully
Considering library org.scala-lang:scala-parser-combinators_2.11:1.0.1
Checking "H:\Minecraft\Server_1.7.10_Modded\libraries\org\scala-lang\scala-parser-combinators_2.11\1.0.1\scala-parser-combinators_2.11-1.0.1.jar" internal checksums
checksums.sha1 validated successfully
Jar contents validated successfully
Considering library org.scala-lang:scala-reflect:2.11.1
Checking "H:\Minecraft\Server_1.7.10_Modded\libraries\org\scala-lang\scala-reflect\2.11.1\scala-reflect-2.11.1.jar" internal checksums
checksums.sha1 validated successfully
Jar contents validated successfully
Considering library org.scala-lang:scala-swing_2.11:1.0.1
Checking "H:\Minecraft\Server_1.7.10_Modded\libraries\org\scala-lang\scala-swing_2.11\1.0.1\scala-swing_2.11-1.0.1.jar" internal checksums
checksums.sha1 validated successfully
Jar contents validated successfully
Considering library org.scala-lang:scala-xml_2.11:1.0.2
Checking "H:\Minecraft\Server_1.7.10_Modded\libraries\org\scala-lang\scala-xml_2.11\1.0.2\scala-xml_2.11-1.0.2.jar" internal checksums
checksums.sha1 validated successfully
Jar contents validated successfully
Considering library lzma:lzma:0.0.1
Downloading library lzma:lzma:0.0.1
java.io.IOException: Server returned HTTP response code: 403 for URL: https://libraries.minecraft.net/lzma/lzma/0.0.1/lzma-0.0.1.jar.pack.xz
at sun.net.www.protocol.http.HttpURLConnection.getInputStream0(Unknown Source)
at sun.net.www.protocol.http.HttpURLConnection.getInputStream(Unknown Source)
at sun.net.www.protocol.https.HttpsURLConnectionImpl.getInputStream(Unknown Source)
at net.minecraftforge.installer.DownloadUtils$URLISSupplier.getInput(DownloadUtils.java:428)
at net.minecraftforge.installer.DownloadUtils$URLISSupplier.getInput(DownloadUtils.java:416)
at com.google.common.io.ByteStreams$6.openStream(ByteStreams.java:989)
at com.google.common.io.ByteSource.copyTo(ByteSource.java:202)
at com.google.common.io.Files.copy(Files.java:382)
at net.minecraftforge.installer.DownloadUtils.downloadFile(DownloadUtils.java:374)
at net.minecraftforge.installer.DownloadUtils.downloadInstalledLibraries(DownloadUtils.java:84)
at net.minecraftforge.installer.ServerInstall.run(ServerInstall.java:72)
at net.minecraftforge.installer.InstallerAction.run(InstallerAction.java:42)
at net.minecraftforge.installer.InstallerPanel.run(InstallerPanel.java:290)
at net.minecraftforge.installer.SimpleInstaller.launchGui(SimpleInstaller.java:154)
at net.minecraftforge.installer.SimpleInstaller.main(SimpleInstaller.java:40)
Considering library net.sf.jopt-simple:jopt-simple:4.5
Considering library com.google.guava:guava:17.0
Considering library org.apache.commons:commons-lang3:3.3.2
//edit: It works on a low-end Linux, but not on Windows 10?