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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 20808bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20808.u1 | 20808bb1 | \([0, 0, 0, -3315, -73474]\) | \(-18674500/3\) | \(-647212032\) | \([]\) | \(11520\) | \(0.70038\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20808bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 20808bb do not have complex multiplication.Modular form 20808.2.a.bb
sage: E.q_eigenform(10)