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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 266616.bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
266616.bp1 | 266616bp1 | \([0, 0, 0, -759, -8993]\) | \(-340736/49\) | \(-6953878512\) | \([]\) | \(138240\) | \(0.61923\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 266616.bp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 266616.bp do not have complex multiplication.Modular form 266616.2.a.bp
sage: E.q_eigenform(10)