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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 66270e
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 66270.f1 | 66270e1 | \([1, 1, 0, -925070707, 10831798104301]\) | \(-8121969458732291369689/2284200000000000\) | \(-24621883654501800000000000\) | \([]\) | \(34974720\) | \(3.8534\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66270e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 66270e do not have complex multiplication.Modular form 66270.2.a.e
sage: E.q_eigenform(10)