Cremona's table of elliptic curves

15372 = 2² · 3² · 7 · 61

Class	r	Atkin-Lehner	Eigenvalues
15372a (1 curve)	1	2- 3+ 7+ 61-	2- 3+  3 7+  2  0  6 -1
Curve Equation t Generators 15372a1 [0,0,0,9,-82] 1 [7:18:1]
15372b (1 curve)	1	2- 3+ 7+ 61-	2- 3+ -3 7+ -2  0 -6 -1
Curve Equation t Generators 15372b1 [0,0,0,81,2214] 1 [6:54:1]
15372c (2 curves)	2	2- 3- 7+ 61-	2- 3-  0 7+ -4 -6 -6 -4
Curve Equation t Generators 15372c1 [0,0,0,-1200,19721] 2 [-20:189:1]&[-13:182:1] 15372c2 [0,0,0,-20415,1122662] 2 [-161:486:1]&[7:990:1]
15372d (1 curve)	0	2- 3- 7+ 61-	2- 3- -4 7+  4  4 -5  0
Curve Equation t 15372d1 [0,0,0,-30792,-2079740] 1
15372e (4 curves)	1	2- 3- 7- 61-	2- 3-  0 7-  0  2  6 -4
Curve Equation t Generators 15372e1 [0,0,0,-3720,15253117] 2 [-1:3906:1] 15372e2 [0,0,0,-945255,348744814] 2 [5970:61411:8] 15372e3 [0,0,0,-4766520,4005669841] 6 [-8507460:6644791:3375] 15372e4 [0,0,0,-76265535,256354293382] 6 [178006458165:-1292756541388334:3375]
15372f (2 curves)	1	2- 3- 7- 61-	2- 3-  0 7- -3  2 -3  5
Curve Equation t Generators 15372f1 [0,0,0,-615,-5042] 1 [-18:14:1] 15372f2 [0,0,0,-13215,584134] 3 [-90:1022:1]
15372g (2 curves)	1	2- 3- 7- 61-	2- 3-  0 7- -6  2 -3 -4
Curve Equation t Generators 15372g1 [0,0,0,240,2644] 1 [5:63:1] 15372g2 [0,0,0,-9840,376612] 3 [53:63:1]

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