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SageMath
E = EllipticCurve("bs1")
E.isogeny_class()
Elliptic curves in class 166600.bs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
166600.bs1 | 166600bt1 | \([0, 0, 0, -111475, 35414750]\) | \(-1660932/4913\) | \(-453159477008000000\) | \([]\) | \(4128768\) | \(2.0748\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 166600.bs1 has rank \(0\).
Complex multiplication
The elliptic curves in class 166600.bs do not have complex multiplication.Modular form 166600.2.a.bs
sage: E.q_eigenform(10)