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SageMath
E = EllipticCurve("ht1")
E.isogeny_class()
Elliptic curves in class 62400.ht
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
62400.ht1 | 62400gr1 | \([0, 1, 0, 1247, -136417]\) | \(261568120/10024911\) | \(-8212407091200\) | \([]\) | \(103680\) | \(1.1579\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 62400.ht1 has rank \(1\).
Complex multiplication
The elliptic curves in class 62400.ht do not have complex multiplication.Modular form 62400.2.a.ht
sage: E.q_eigenform(10)