Cremona's table of elliptic curves

34100 = 2² · 5² · 11 · 31

Class	r	Atkin-Lehner	Eigenvalues
34100a (2 curves)	1	2- 5+ 11+ 31-	2-  0 5+  2 11+  0  4 -4
Curve Equation t Generators 34100a1 [0,0,0,-5300,-147375] 2 [-40:25:1] 34100a2 [0,0,0,-9175,96750] 2 [115:750:1]
34100b (1 curve)	1	2- 5+ 11+ 31-	2-  2 5+ -1 11+  0  6  1
Curve Equation t Generators 34100b1 [0,-1,0,242,-363] 1 [132:759:64]
34100c (1 curve)	1	2- 5+ 11- 31+	2-  0 5+  3 11- -2  0  1
Curve Equation t Generators 34100c1 [0,0,0,-19925,1097125] 1 [81:-121:1]
34100d (2 curves)	2	2- 5+ 11- 31-	2-  0 5+ -2 11- -4  0 -8
Curve Equation t Generators 34100d1 [0,0,0,-32300,1993625] 2 [60970:-468875:343]&[-161:1738:1] 34100d2 [0,0,0,-501175,136560750] 2 [411:66:1]&[430:750:1]
34100e (2 curves)	0	2- 5+ 11- 31-	2-  2 5+  4 11-  0  4  4
Curve Equation t 34100e1 [0,-1,0,-739133,-233784238] 2 34100e2 [0,-1,0,-2060508,836529512] 2
34100f (1 curve)	0	2- 5- 11- 31+	2-  1 5-  0 11-  2  3  7
Curve Equation t 34100f1 [0,1,0,-6413,-200497] 1
34100g (1 curve)	0	2- 5- 11- 31+	2- -1 5-  0 11- -2 -3  7
Curve Equation t 34100g1 [0,-1,0,-160333,-24741463] 1
34100h (2 curves)	0	2- 5- 11- 31+	2-  2 5-  0 11-  6  2 -8
Curve Equation t 34100h1 [0,-1,0,-6333,-168838] 2 34100h2 [0,-1,0,-25708,1419912] 2
34100i (2 curves)	2	2- 5- 11- 31+	2- -2 5-  0 11- -6 -2 -8
Curve Equation t Generators 34100i1 [0,1,0,-253,-1452] 2 [-11:11:1]&[-7:5:1] 34100i2 [0,1,0,-1028,10948] 2 [-32:110:1]&[-21:154:1]

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

Part of Computational Number Theory
Back to Tables and computations