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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 147294n
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 147294.bx1 | 147294n1 | \([1, -1, 1, -1439213, 665875725]\) | \(-3843995587427449/6390046584\) | \(-548049508518980664\) | \([]\) | \(3048192\) | \(2.2997\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 147294n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 147294n do not have complex multiplication.Modular form 147294.2.a.n
sage: E.q_eigenform(10)