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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 290145.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
290145.r1 | 290145r1 | \([0, 1, 1, -615051, -185866054]\) | \(-43258336804864/646875\) | \(-384776335771875\) | \([]\) | \(1960000\) | \(1.9355\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 290145.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 290145.r do not have complex multiplication.Modular form 290145.2.a.r
sage: E.q_eigenform(10)