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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 1098.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1098.j1 | 1098g1 | \([1, -1, 1, -8, -7]\) | \(-1860867/122\) | \(-3294\) | \([]\) | \(112\) | \(-0.57246\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1098.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1098.j do not have complex multiplication.Modular form 1098.2.a.j
sage: E.q_eigenform(10)