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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 25992n
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 25992.d1 | 25992n1 | \([0, 0, 0, -3819, 90839]\) | \(1462911232\) | \(4210704\) | \([]\) | \(15120\) | \(0.58607\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25992n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 25992n do not have complex multiplication.Modular form 25992.2.a.n
sage: E.q_eigenform(10)