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	630c1 630c2 630c3 630c4 630c5 630c6 630c7 630c8	Curves in isogeny class
deg	1024	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+ 7+  4 -2 -2  4	Hecke eigenvalues for primes less than 20
L	0.99512756202184	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	5040bi 20160ce 210e 3150bk	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 630c

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	-2	-2	4	8	2	0	6	6	-4	0	10	-12	14	-12	8	10	16	12	-10	2

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Quadratic twists for isogeny class 630c

-4	8	-3	5	-7	-11	13
5040bi	20160ce	210e	3150bk	4410r	76230du	106470gc

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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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