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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 252700bc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 252700.bc1 | 252700bc1 | \([0, 0, 0, -1805, -34295]\) | \(-34560/7\) | \(-131728466800\) | \([]\) | \(235872\) | \(0.85614\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 252700bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 252700bc do not have complex multiplication.Modular form 252700.2.a.bc
sage: E.q_eigenform(10)