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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 317900.bc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 317900.bc1 | 317900bc1 | \([0, -1, 0, -113333, 15959537]\) | \(-13107200/1331\) | \(-16348007500000000\) | \([]\) | \(1918080\) | \(1.8509\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 317900.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 317900.bc do not have complex multiplication.Modular form 317900.2.a.bc
sage: E.q_eigenform(10)