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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 7098.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7098.g1 | 7098f1 | \([1, 1, 0, -122528, 11512350]\) | \(249395415529/73513818\) | \(59967479760602778\) | \([]\) | \(131040\) | \(1.9252\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7098.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7098.g do not have complex multiplication.Modular form 7098.2.a.g
sage: E.q_eigenform(10)