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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 206856bc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 206856.bm1 | 206856bc1 | \([0, 0, 0, 2028, 8788]\) | \(27648/17\) | \(-567169364736\) | \([]\) | \(149760\) | \(0.94448\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206856bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 206856bc do not have complex multiplication.Modular form 206856.2.a.bc
sage: E.q_eigenform(10)