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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 257600.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
257600.bb1 | 257600bb1 | \([0, 1, 0, -6433, 198303]\) | \(-35945285000/386561\) | \(-316670771200\) | \([]\) | \(337920\) | \(1.0229\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 257600.bb1 has rank \(2\).
Complex multiplication
The elliptic curves in class 257600.bb do not have complex multiplication.Modular form 257600.2.a.bb
sage: E.q_eigenform(10)