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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 363726x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 363726.x1 | 363726x1 | \([1, -1, 0, -94580217, 354060581485]\) | \(-72450434397496515625/705408\) | \(-911011837076352\) | \([]\) | \(24729600\) | \(2.9031\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 363726x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 363726x do not have complex multiplication.Modular form 363726.2.a.x
sage: E.q_eigenform(10)