Cremona's table of elliptic curves

1974 = 2 · 3 · 7 · 47

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 47+	Signs for the Atkin-Lehner involutions
Conductor	1974	Conductor
Count	6	Number of curves in isogeny class
Curves	1974i1 1974i2 1974i3 1974i4 1974i5 1974i6	Curves in isogeny class
deg	4096	Modular degree for the optimal curve
Eigenvalues	2- 3- -2 7+ -4 -2  2 -4	Hecke eigenvalues for primes less than 20
L	4.3300175083895	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	15792x 63168b 5922g 49350j	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1974i

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
-	-	-2	+	-4	-2	2	-4	-8	6	-8	6	2	-12	+	6	-4	-2	-4	8	-6	0	4	-6	2

---

Quadratic twists for isogeny class 1974i

-4	8	-3	5	-7	-47
15792x	63168b	5922g	49350j	13818u	92778v

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations