Cremona's table of elliptic curves

10200 = 2³ · 3 · 5² · 17

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 17+	Signs for the Atkin-Lehner involutions
Class	10200c	Isogeny class
Conductor	10200	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	374544000000 = 210 · 34 · 56 · 172	Discriminant
Eigenvalues	2+ 3+ 5+  4  4 -6 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1808,3612]	[a1,a2,a3,a4,a6]
Generators	[-7:126:1]	Generators of the group modulo torsion
j	40873252/23409	j-invariant
L	4.47541275811	L(r)(E,1)/r!
Ω	0.81558411209497	Real period
R	2.7436855940058	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	20400z2 81600dg2 30600co2 408b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10200c2

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

---

Quadratic twists for elliptic curve 10200c2

-4	8	-3	5
20400z2	81600dg2	30600co2	408b2

---

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