Cremona's table of elliptic curves

3150 = 2 · 3² · 5² · 7

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7+	Signs for the Atkin-Lehner involutions
Conductor	3150	Conductor
Count	8	Number of curves in isogeny class
Curves	3150k1 3150k2 3150k3 3150k4 3150k5 3150k6 3150k7 3150k8	Curves in isogeny class
deg	18432	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+ 7+  0 -2 -6  8	Hecke eigenvalues for primes less than 20
L	1.0440533072434	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	25200eg 100800cy 1050k 630i	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3150k

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 3150k

-4	8	-3	5	-7
25200eg	100800cy	1050k	630i	22050bd

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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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