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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 81120bb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 81120.h1 | 81120bb1 | \([0, -1, 0, -7578861, -8028438939]\) | \(-2435092894982656/88846875\) | \(-1756556885491200000\) | \([]\) | \(2257920\) | \(2.5888\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 81120bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 81120bb do not have complex multiplication.Modular form 81120.2.a.bb
sage: E.q_eigenform(10)