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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 393129.bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
393129.bp1 | 393129bp1 | \([0, 0, 1, -496584, 327574739]\) | \(-56623104/161051\) | \(-38518700953072470867\) | \([]\) | \(8640000\) | \(2.4452\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 393129.bp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 393129.bp do not have complex multiplication.Modular form 393129.2.a.bp
sage: E.q_eigenform(10)