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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 283024p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
283024.p1 | 283024p1 | \([0, 1, 0, -165097, -61049325]\) | \(-7168/19\) | \(-1319166129883888384\) | \([]\) | \(2903040\) | \(2.1645\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 283024p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 283024p do not have complex multiplication.Modular form 283024.2.a.p
sage: E.q_eigenform(10)