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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 61347.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
61347.bb1 | 61347o1 | \([0, -1, 1, -3098, 67979]\) | \(-160855552000/1594323\) | \(-32602311027\) | \([]\) | \(69264\) | \(0.83667\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 61347.bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 61347.bb do not have complex multiplication.Modular form 61347.2.a.bb
sage: E.q_eigenform(10)