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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 208725.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
208725.i1 | 208725b1 | \([0, 1, 1, -458, 31994]\) | \(-45056/1863\) | \(-440279296875\) | \([]\) | \(395520\) | \(0.91434\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 208725.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 208725.i do not have complex multiplication.Modular form 208725.2.a.i
sage: E.q_eigenform(10)