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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 268770bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
268770.bb1 | 268770bb1 | \([1, 0, 1, -58818, -6206444]\) | \(-932288503609/148800000\) | \(-3591670267200000\) | \([]\) | \(1774080\) | \(1.7129\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 268770bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 268770bb do not have complex multiplication.Modular form 268770.2.a.bb
sage: E.q_eigenform(10)