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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 310464.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
310464.bg1 | 310464bg1 | \([0, 0, 0, 756, -10584]\) | \(6912/11\) | \(-76046294016\) | \([]\) | \(245760\) | \(0.77307\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 310464.bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 310464.bg do not have complex multiplication.Modular form 310464.2.a.bg
sage: E.q_eigenform(10)