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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 257600.bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
257600.bp1 | 257600bp1 | \([0, -1, 0, -1373, -19133]\) | \(-35806478336/3703\) | \(-29624000\) | \([]\) | \(78336\) | \(0.46619\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 257600.bp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 257600.bp do not have complex multiplication.Modular form 257600.2.a.bp
sage: E.q_eigenform(10)