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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 254320.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
254320.p1 | 254320p1 | \([0, -1, 0, -181, -1219]\) | \(-557056/275\) | \(-325529600\) | \([]\) | \(93312\) | \(0.33865\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254320.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 254320.p do not have complex multiplication.Modular form 254320.2.a.p
sage: E.q_eigenform(10)