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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 311696.bb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 311696.bb1 | 311696bb1 | \([0, -1, 0, -11040, 435184]\) | \(109192361324/4173281\) | \(5687948299264\) | \([]\) | \(387072\) | \(1.2154\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 311696.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 311696.bb do not have complex multiplication.Modular form 311696.2.a.bb
sage: E.q_eigenform(10)