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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 11088bl
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 11088.r1 | 11088bl1 | \([0, 0, 0, -4233, -120629]\) | \(-719152519936/122762871\) | \(-1431906127344\) | \([]\) | \(9984\) | \(1.0590\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11088bl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11088bl do not have complex multiplication.Modular form 11088.2.a.bl
sage: E.q_eigenform(10)