Properties

Label 63175.k
Number of curves $1$
Conductor $63175$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 63175.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
63175.k1 63175x1 \([1, -1, 1, -30, 22]\) \(12825/7\) \(1579375\) \([]\) \(21816\) \(-0.11982\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 63175.k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 63175.k do not have complex multiplication.

Modular form 63175.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{2} + 3 q^{3} - q^{4} - 3 q^{6} + q^{7} + 3 q^{8} + 6 q^{9} - 6 q^{11} - 3 q^{12} + 6 q^{13} - q^{14} - q^{16} - 6 q^{17} - 6 q^{18} + O(q^{20})\) Copy content Toggle raw display