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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 1098.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1098.i1 | 1098i1 | \([1, -1, 1, -8213, 291053]\) | \(-84033427451401/863502336\) | \(-629493202944\) | \([]\) | \(1824\) | \(1.0819\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1098.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1098.i do not have complex multiplication.Modular form 1098.2.a.i
sage: E.q_eigenform(10)