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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 9450.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9450.f1 | 9450r1 | \([1, -1, 0, -4002117, 3087187541]\) | \(-184404614399559/314703872\) | \(-12098274048000000000\) | \([]\) | \(293760\) | \(2.5563\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9450.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9450.f do not have complex multiplication.Modular form 9450.2.a.f
sage: E.q_eigenform(10)