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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 78897a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
78897.a1 | 78897a1 | \([0, -1, 1, -4142, -1497130]\) | \(-325660672/40000779\) | \(-965521563166251\) | \([]\) | \(635904\) | \(1.5548\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 78897a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 78897a do not have complex multiplication.Modular form 78897.2.a.a
sage: E.q_eigenform(10)