Cremona's table of elliptic curves

12432 = 2⁴ · 3 · 7 · 37

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 37-	Signs for the Atkin-Lehner involutions
Conductor	12432	Conductor
Count	4	Number of curves in isogeny class
Curves	12432bl1 12432bl2 12432bl3 12432bl4	Curves in isogeny class
deg	9216	Modular degree for the optimal curve
Eigenvalues	2- 3+ -2 7-  0 -2  2 -4	Hecke eigenvalues for primes less than 20
L	0.78311223741361	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1554c 49728ep 37296cn 87024ef	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for isogeny class 12432bl

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
-	+	-2	-	0	-2	2	-4	0	-6	0	-	-10	-4	8	-10	8	-2	4	12	2	8	4	10	2

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Quadratic twists for isogeny class 12432bl

-4	8	-3	-7
1554c	49728ep	37296cn	87024ef

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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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