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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 85800.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
85800.p1 | 85800j1 | \([0, -1, 0, 792, -1188]\) | \(85737500/50193\) | \(-32123520000\) | \([]\) | \(76032\) | \(0.70548\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 85800.p1 has rank \(2\).
Complex multiplication
The elliptic curves in class 85800.p do not have complex multiplication.Modular form 85800.2.a.p
sage: E.q_eigenform(10)