Cremona's table of elliptic curves

63525 = 3 · 5² · 7 · 11²

Field	Data	Notes
Atkin-Lehner	3+ 5+ 7- 11-	Signs for the Atkin-Lehner involutions
Conductor	63525	Conductor
Count	6	Number of curves in isogeny class
Curves	63525r1 63525r2 63525r3 63525r4 63525r5 63525r6	Curves in isogeny class
deg	2764800	Modular degree for the optimal curve
Eigenvalues	-1 3+ 5+ 7- 11- -2  2 -4	Hecke eigenvalues for primes less than 20
L	2.7474854057439	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	12705m 5775c	Quadratic twists by: 5 -11

Hecke Eigenvalues for isogeny class 63525r

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
-1	+	+	-	-	-2	2	-4	0	-6	0	-6	6	-4	0	2	4	-6	-12	0	10	-8	-4	10	-10

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Quadratic twists for isogeny class 63525r

5	-11
12705m	5775c

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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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