Cremona's table of elliptic curves

402 = 2 · 3 · 67

Field	Data	Notes
Atkin-Lehner	2- 3+ 67+	Signs for the Atkin-Lehner involutions
Conductor	402	Conductor
Count	2	Number of curves in isogeny class
Curves	402c1 402c2	Curves in isogeny class
deg	48	Modular degree for the optimal curve
Eigenvalues	2- 3+  2  2 -4  0  6  4	Hecke eigenvalues for primes less than 20
L	2.0887181251503	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	3216k 12864u 1206b 10050l	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 402c

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

---

Quadratic twists for isogeny class 402c

-4	8	-3	5	-7	-11	13	17	-67
3216k	12864u	1206b	10050l	19698q	48642f	67938d	116178bj	26934c

---

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