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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 25992bb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 25992.l1 | 25992bb1 | \([0, 0, 0, 177612, 20604436]\) | \(70575104/61731\) | \(-541991420192772864\) | \([]\) | \(276480\) | \(2.0903\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25992bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25992bb do not have complex multiplication.Modular form 25992.2.a.bb
sage: E.q_eigenform(10)