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SageMath
E = EllipticCurve("kc1")
E.isogeny_class()
Elliptic curves in class 478800.kc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
478800.kc1 | 478800kc1 | \([0, 0, 0, -1185510675, -36452538991150]\) | \(-98735339854432038328225/250451215107692352768\) | \(-467402075682579776429752320000\) | \([]\) | \(402554880\) | \(4.3809\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 478800.kc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 478800.kc do not have complex multiplication.Modular form 478800.2.a.kc
sage: E.q_eigenform(10)