Cremona's table of elliptic curves

1734 = 2 · 3 · 17²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 17+	Signs for the Atkin-Lehner involutions
Conductor	1734	Conductor
Count	4	Number of curves in isogeny class
Curves	1734b1 1734b2 1734b3 1734b4	Curves in isogeny class
deg	6912	Modular degree for the optimal curve
Eigenvalues	2+ 3+  0 -2  0  2 17+ -4	Hecke eigenvalues for primes less than 20
L	1.8045805560692	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	13872be 55488bc 5202h 43350cy	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1734b

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	0	2	+	-4	6	0	10	-8	-6	-4	12	6	-12	-8	-4	-6	-2	10	12	-18	-14

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Quadratic twists for isogeny class 1734b

-4	8	-3	5	-7	17
13872be	55488bc	5202h	43350cy	84966bs	102c

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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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