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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 145200.bc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 145200.bc1 | 145200fb1 | \([0, -1, 0, -122008, -12545168]\) | \(75625/18\) | \(47807861024563200\) | \([]\) | \(1064448\) | \(1.9119\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145200.bc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 145200.bc do not have complex multiplication.Modular form 145200.2.a.bc
sage: E.q_eigenform(10)