Cremona's table of elliptic curves

9735 = 3 · 5 · 11 · 59

Class	r	Atkin-Lehner	Eigenvalues
9735a (2 curves)	1	3+ 5+ 11+ 59+	1 3+ 5+  2 11+  2  0 -8
Curve Equation t Generators 9735a1 [1,1,0,-148,427] 2 [2:11:1] 9735a2 [1,1,0,-2173,38092] 2 [12:112:1]
9735b (1 curve)	0	3+ 5+ 11+ 59-	2 3+ 5+ -4 11+ -3  7 -6
Curve Equation t 9735b1 [0,-1,1,-206,-1213] 1
9735c (2 curves)	1	3+ 5+ 11- 59-	-1 3+ 5+ -4 11-  6 -2 -6
Curve Equation t Generators 9735c1 [1,1,1,-254761,-48529042] 2 [824:16962:1] 9735c2 [1,1,1,-4051636,-3140704042] 2 [3949:204088:1]
9735d (4 curves)	0	3+ 5- 11+ 59+	-1 3+ 5- -4 11+  6 -2  4
Curve Equation t 9735d1 [1,1,1,-9865,373022] 4 9735d2 [1,1,1,-9990,362922] 4 9735d3 [1,1,1,-28215,-1364808] 2 9735d4 [1,1,1,6235,1446752] 2
9735e (2 curves)	0	3- 5+ 11+ 59+	1 3- 5+ -2 11+  2 -4  4
Curve Equation t 9735e1 [1,0,1,-197974,-33921109] 2 9735e2 [1,0,1,-198199,-33840199] 2
9735f (2 curves)	0	3- 5+ 11+ 59+	1 3- 5+ -2 11+  2 -4 -6
Curve Equation t 9735f1 [1,0,1,-203584,35250257] 2 9735f2 [1,0,1,-287959,3221507] 2
9735g (2 curves)	0	3- 5+ 11+ 59+	1 3- 5+  4 11+ -4 -4  4
Curve Equation t 9735g1 [1,0,1,-89,311] 2 9735g2 [1,0,1,-34,707] 2
9735h (2 curves)	1	3- 5+ 11- 59+	1 3- 5+ -4 11-  2  2 -2
Curve Equation t Generators 9735h1 [1,0,1,-139,-439] 2 [61:437:1] 9735h2 [1,0,1,-2014,-34939] 2 [4404:22843:64]
9735i (2 curves)	1	3- 5- 11+ 59+	0 3- 5-  2 11+  5  3 -4
Curve Equation t Generators 9735i1 [0,1,1,-745,-23126] 3 [146:1732:1] 9735i2 [0,1,1,-88495,-10162301] 1 [3178:33491:8]
9735j (4 curves)	0	3- 5- 11- 59+	1 3- 5-  4 11-  2 -6 -8
Curve Equation t 9735j1 [1,0,1,-40928,-3190327] 2 9735j2 [1,0,1,-41333,-3124069] 4 9735j3 [1,0,1,-107708,9407531] 4 9735j4 [1,0,1,18562,-11413537] 2
9735k (1 curve)	1	3- 5- 11- 59-	-1 3- 5-  3 11-  1 -3 -2
Curve Equation t Generators 9735k1 [1,0,0,-20,237] 1 [19:73:1]

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