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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 88725.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88725.p1 | 88725cc1 | \([1, 0, 0, -555513, -159405858]\) | \(287183643885385/8680203\) | \(573029026171875\) | \([]\) | \(950400\) | \(1.9300\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88725.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88725.p do not have complex multiplication.Modular form 88725.2.a.p
sage: E.q_eigenform(10)