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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 83790.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
83790.f1 | 83790bg1 | \([1, -1, 0, -2340, 44176]\) | \(-39678209809/18240\) | \(-651551040\) | \([]\) | \(73728\) | \(0.64811\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 83790.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 83790.f do not have complex multiplication.Modular form 83790.2.a.f
sage: E.q_eigenform(10)