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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 67620bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67620.bb1 | 67620bb1 | \([0, 1, 0, -55141, 4972295]\) | \(-615640662016/978075\) | \(-29457803692800\) | \([]\) | \(253440\) | \(1.4825\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67620bb1 has rank \(2\).
Complex multiplication
The elliptic curves in class 67620bb do not have complex multiplication.Modular form 67620.2.a.bb
sage: E.q_eigenform(10)