Cremona's table of elliptic curves

12100 = 2² · 5² · 11²

Class	r	Atkin-Lehner	Eigenvalues
12100a (2 curves)	0	2- 5+ 11+	2-  0 5+  4 11+  4 -4 -8
Curve Equation t 12100a1 [0,0,0,-2200,-45375] 2 12100a2 [0,0,0,-36575,-2692250] 2
12100b (2 curves)	0	2- 5+ 11+	2-  0 5+ -4 11+ -4  4  8
Curve Equation t 12100b1 [0,0,0,-266200,60394125] 2 12100b2 [0,0,0,-4425575,3583384750] 2
12100c (2 curves)	1	2- 5+ 11-	2- -1 5+  1 11- -2  0  2
Curve Equation t Generators 12100c1 [0,-1,0,11092,-3121688] 1 [3639:24200:27] 12100c2 [0,-1,0,-1319908,-583437688] 1 [71679:3264200:27]
12100d (2 curves)	1	2- 5+ 11-	2- -1 5+ -1 11-  2  0 -2
Curve Equation t Generators 12100d1 [0,-1,0,92,2312] 1 [2:50:1] 12100d2 [0,-1,0,-10908,442312] 1 [57:50:1]
12100e (2 curves)	1	2- 5+ 11-	2- -1 5+  2 11- -4  6 -8
Curve Equation t Generators 12100e1 [0,-1,0,8067,317737] 1 [-29:242:1] 12100e2 [0,-1,0,-233933,43877737] 1 [-304:9317:1]
12100f (4 curves)	1	2- 5+ 11-	2-  2 5+  2 11-  2 -6  4
Curve Equation t Generators 12100f1 [0,-1,0,-4033,-66438] 2 [81:363:1] 12100f2 [0,-1,0,11092,-459688] 2 [1162:39750:1] 12100f3 [0,-1,0,-125033,17055062] 2 [-37218:1249325:216] 12100f4 [0,-1,0,-109908,21320312] 2 [-12167022:437770619:74088]
12100g (4 curves)	1	2- 5+ 11-	2-  2 5+ -4 11- -4  0  4
Curve Equation t Generators 12100g1 [0,-1,0,-137133,-19099738] 2 [-193:375:1] 12100g2 [0,-1,0,-303508,36469512] 2 [5922:453750:1] 12100g3 [0,-1,0,-1347133,594672762] 2 [4506:30225:8] 12100g4 [0,-1,0,-21478508,38320869512] 2 [1272249654:-204115625:474552]
12100h (2 curves)	1	2- 5+ 11-	2- -2 5+  0 11-  0 -4  4
Curve Equation t Generators 12100h1 [0,1,0,-16133,-48512] 2 [348:6050:1] 12100h2 [0,1,0,-182508,-29996012] 2 [-237:50:1]
12100i (2 curves)	0	2- 5- 11-	2-  0 5-  2 11- -6 -2  4
Curve Equation t 12100i1 [0,0,0,-2420,-33275] 2 12100i2 [0,0,0,-35695,-2595450] 2
12100j (2 curves)	0	2- 5- 11-	2-  0 5- -2 11-  6  2  4
Curve Equation t 12100j1 [0,0,0,-60500,-4159375] 2 12100j2 [0,0,0,-892375,-324431250] 2

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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