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SageMath
E = EllipticCurve("kb1")
E.isogeny_class()
Elliptic curves in class 478800.kb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 478800.kb1 | 478800kb1 | \([0, 0, 0, 628125, 901201250]\) | \(23497109375/314399232\) | \(-366715264204800000000\) | \([]\) | \(16588800\) | \(2.6267\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 478800.kb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 478800.kb do not have complex multiplication.Modular form 478800.2.a.kb
sage: E.q_eigenform(10)