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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 9450.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9450.r1 | 9450bb1 | \([1, -1, 0, -12990012, 18023565536]\) | \(54736695752751625395/38416\) | \(170131978800\) | \([]\) | \(241920\) | \(2.3676\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9450.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9450.r do not have complex multiplication.Modular form 9450.2.a.r
sage: E.q_eigenform(10)