Cremona's table of elliptic curves

630 = 2 · 3² · 5 · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Conductor	630	Conductor
Count	8	Number of curves in isogeny class
Curves	630i1 630i2 630i3 630i4 630i5 630i6 630i7 630i8	Curves in isogeny class
deg	768	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+ 7-  0  2  6  8	Hecke eigenvalues for primes less than 20
L	2.3345741671298	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	5040bc 20160cg 210b 3150k	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 630i

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

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Quadratic twists for isogeny class 630i

-4	8	-3	5	-7	-11	13
5040bc	20160cg	210b	3150k	4410bk	76230t	106470ce

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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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