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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 89232bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
89232.l1 | 89232bg1 | \([0, -1, 0, -8896, -416768]\) | \(-8653002877/3449952\) | \(-31045814452224\) | \([]\) | \(138240\) | \(1.2977\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 89232bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 89232bg do not have complex multiplication.Modular form 89232.2.a.bg
sage: E.q_eigenform(10)