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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 177600.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177600.bc1 | 177600ih1 | \([0, -1, 0, 323967, -36936063]\) | \(918046641959/674325000\) | \(-2762035200000000000\) | \([]\) | \(3317760\) | \(2.2268\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177600.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 177600.bc do not have complex multiplication.Modular form 177600.2.a.bc
sage: E.q_eigenform(10)