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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 7098.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7098.d1 | 7098g1 | \([1, 1, 0, 15883, 24237]\) | \(41781923/24192\) | \(-256544048831616\) | \([]\) | \(26208\) | \(1.4543\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7098.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7098.d do not have complex multiplication.Modular form 7098.2.a.d
sage: E.q_eigenform(10)