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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 338100.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338100.r1 | 338100r1 | \([0, -1, 0, 9048667, 3452526162]\) | \(111431820247040/71501334387\) | \(-52575378058101018750000\) | \([]\) | \(36529920\) | \(3.0487\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338100.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 338100.r do not have complex multiplication.Modular form 338100.2.a.r
sage: E.q_eigenform(10)