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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 4026.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4026.f1 | 4026f1 | \([1, 1, 1, 5104, 1980017]\) | \(14704504384534271/1698515543328384\) | \(-1698515543328384\) | \([]\) | \(23520\) | \(1.6018\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4026.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4026.f do not have complex multiplication.Modular form 4026.2.a.f
sage: E.q_eigenform(10)