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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 445280i
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 445280.i1 | 445280i1 | \([0, 1, 0, 11939, 126361035]\) | \(25934336/950546875\) | \(-6897466459840000000\) | \([]\) | \(5644800\) | \(2.2937\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 445280i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 445280i do not have complex multiplication.Modular form 445280.2.a.i
sage: E.q_eigenform(10)