Show commands:
SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 331200p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
331200.p1 | 331200p1 | \([0, 0, 0, -283500, 102330000]\) | \(-10001880/12167\) | \(-3065383180800000000\) | \([]\) | \(6635520\) | \(2.2409\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331200p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 331200p do not have complex multiplication.Modular form 331200.2.a.p
sage: E.q_eigenform(10)