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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 235950.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235950.r1 | 235950r1 | \([1, 1, 0, -6496250, -6379063500]\) | \(-822920371811/505440\) | \(-18621891889672500000\) | \([]\) | \(8870400\) | \(2.6403\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235950.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 235950.r do not have complex multiplication.Modular form 235950.2.a.r
sage: E.q_eigenform(10)