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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 2541.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2541.i1 | 2541a1 | \([1, 1, 0, -389622, -93997647]\) | \(-30515071121161/85766121\) | \(-18384729725270601\) | \([]\) | \(28512\) | \(1.9932\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2541.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2541.i do not have complex multiplication.Modular form 2541.2.a.i
sage: E.q_eigenform(10)