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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 9450.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9450.w1 | 9450bq1 | \([1, -1, 0, -252, -1494]\) | \(-58395327/686\) | \(-20837250\) | \([]\) | \(3744\) | \(0.21703\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9450.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9450.w do not have complex multiplication.Modular form 9450.2.a.w
sage: E.q_eigenform(10)