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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 235950.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235950.k1 | 235950k1 | \([1, 1, 0, 504408100, 2176568082000]\) | \(385226073849504061/278469750000000\) | \(-10259642250403863281250000000\) | \([]\) | \(175633920\) | \(4.0632\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235950.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 235950.k do not have complex multiplication.Modular form 235950.2.a.k
sage: E.q_eigenform(10)