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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 90160e
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 90160.bb1 | 90160e1 | \([0, -1, 0, -101505721, -393592275355]\) | \(-3840316976122235063296/27784071875\) | \(-836804677637600000\) | \([]\) | \(6912000\) | \(3.0355\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 90160e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 90160e do not have complex multiplication.Modular form 90160.2.a.e
sage: E.q_eigenform(10)