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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 29400bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29400.cq1 | 29400bv1 | \([0, 1, 0, 572, -164767]\) | \(1280/729\) | \(-11767111801200\) | \([]\) | \(64512\) | \(1.1871\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29400bv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 29400bv do not have complex multiplication.Modular form 29400.2.a.bv
sage: E.q_eigenform(10)