Properties

Label 235950.k
Number of curves $1$
Conductor $235950$
CM no
Rank $0$

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Show commands: 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)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - 3 q^{7} - q^{8} + q^{9} - q^{12} + q^{13} + 3 q^{14} + q^{16} + 6 q^{17} - q^{18} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display