Cremona's table of elliptic curves

1274 = 2 · 7² · 13

Field	Data	Notes
Atkin-Lehner	2- 7- 13+	Signs for the Atkin-Lehner involutions
Conductor	1274	Conductor
Count	3	Number of curves in isogeny class
Curves	1274i1 1274i2 1274i3	Curves in isogeny class
deg	576	Modular degree for the optimal curve
Eigenvalues	2- -1  0 7- -3 13+  0 -2	Hecke eigenvalues for primes less than 20
L	3.1574827618888	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	10192r 40768bh 11466n 31850v	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1274i

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	-	-3	+	0	-2	-3	0	-5	-7	-3	8	3	-12	-6	1	5	12	-11	-1	-12	18	-17

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Quadratic twists for isogeny class 1274i

-4	8	-3	5	-7	13
10192r	40768bh	11466n	31850v	182b	16562h

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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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