Cremona's table of elliptic curves

7035 = 3 · 5 · 7 · 67

Field	Data	Notes
Atkin-Lehner	3- 5- 7- 67+	Signs for the Atkin-Lehner involutions
Conductor	7035	Conductor
Count	4	Number of curves in isogeny class
Curves	7035k1 7035k2 7035k3 7035k4	Curves in isogeny class
deg	1600	Modular degree for the optimal curve
Eigenvalues	-1 3- 5- 7-  0 -2  2  4	Hecke eigenvalues for primes less than 20
L	1.8754978234176	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	112560bv 21105e 35175c 49245h	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 7035k

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

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Quadratic twists for isogeny class 7035k

-4	-3	5	-7
112560bv	21105e	35175c	49245h

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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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