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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 334620.bb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 334620.bb1 | 334620bb1 | \([0, 0, 0, -1188937308, -15776276328007]\) | \(115589808288907264/25268203125\) | \(40630801872712578491250000\) | \([]\) | \(150958080\) | \(3.9078\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 334620.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 334620.bb do not have complex multiplication.Modular form 334620.2.a.bb
sage: E.q_eigenform(10)