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SageMath
E = EllipticCurve("ic1")
E.isogeny_class()
Elliptic curves in class 62400.ic
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
62400.ic1 | 62400gs1 | \([0, 1, 0, 127, -897]\) | \(34295/78\) | \(-511180800\) | \([]\) | \(32256\) | \(0.35511\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 62400.ic1 has rank \(1\).
Complex multiplication
The elliptic curves in class 62400.ic do not have complex multiplication.Modular form 62400.2.a.ic
sage: E.q_eigenform(10)