Show commands:
SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 2550.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2550.p1 | 2550q1 | \([1, 0, 1, -76, -952]\) | \(-121945/918\) | \(-358593750\) | \([]\) | \(1800\) | \(0.32448\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2550.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2550.p do not have complex multiplication.Modular form 2550.2.a.p
sage: E.q_eigenform(10)