Show commands:
SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 363726.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
363726.o1 | 363726o1 | \([1, -1, 0, 24362178, 372880855540]\) | \(33431215187338696125/1275140270480955296\) | \(-60992696863264814418700512\) | \([]\) | \(96768000\) | \(3.6276\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 363726.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 363726.o do not have complex multiplication.Modular form 363726.2.a.o
sage: E.q_eigenform(10)