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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 107387f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
107387.e1 | 107387f1 | \([1, 1, 1, -11, 22062]\) | \(-1/1421\) | \(-210358998269\) | \([]\) | \(95040\) | \(0.85156\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 107387f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 107387f do not have complex multiplication.Modular form 107387.2.a.f
sage: E.q_eigenform(10)