Cremona's table of elliptic curves

13650 = 2 · 3 · 5² · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7+ 13+	Signs for the Atkin-Lehner involutions
Conductor	13650	Conductor
Count	6	Number of curves in isogeny class
Curves	13650z1 13650z2 13650z3 13650z4 13650z5 13650z6	Curves in isogeny class
deg	147456	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+ 7+ -4 13+  6 -4	Hecke eigenvalues for primes less than 20
L	1.3101128944732	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	109200ds 40950ds 2730x 95550bt	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 13650z

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	+	+	-4	+	6	-4	8	-10	0	2	-6	-12	-8	2	4	-2	4	8	14	16	4	-6	6

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Quadratic twists for isogeny class 13650z

-4	-3	5	-7
109200ds	40950ds	2730x	95550bt

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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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