Cremona's table of elliptic curves

1672 = 2³ · 11 · 19

Field	Data	Notes
Atkin-Lehner	2+ 11+ 19-	Signs for the Atkin-Lehner involutions
Conductor	1672	Conductor
Count	4	Number of curves in isogeny class
Curves	1672c1 1672c2 1672c3 1672c4	Curves in isogeny class
deg	144	Modular degree for the optimal curve
Eigenvalues	2+  0 -2 -4 11+  2  2 19-	Hecke eigenvalues for primes less than 20
L	0.82241348872779	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	3344a 13376f 15048j 41800r	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1672c

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

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Quadratic twists for isogeny class 1672c

-4	8	-3	5	-7	-11	-19
3344a	13376f	15048j	41800r	81928c	18392d	31768d

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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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