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SageMath
E = EllipticCurve("bs1")
E.isogeny_class()
Elliptic curves in class 176400.bs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176400.bs1 | 176400he1 | \([0, 0, 0, -10764075, 15636892250]\) | \(-1231272543361/230400000\) | \(-25809651302400000000000\) | \([]\) | \(14376960\) | \(3.0247\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400.bs1 has rank \(1\).
Complex multiplication
The elliptic curves in class 176400.bs do not have complex multiplication.Modular form 176400.2.a.bs
sage: E.q_eigenform(10)