Show commands:
SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 331200j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
331200.j1 | 331200j1 | \([0, 0, 0, 2310, -20990]\) | \(1168724480/839523\) | \(-979219627200\) | \([]\) | \(577536\) | \(0.98923\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331200j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 331200j do not have complex multiplication.Modular form 331200.2.a.j
sage: E.q_eigenform(10)