Properties

Label 63175k
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 63175k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
63175.e1 63175k1 \([0, 0, 1, -55386425, -158547714094]\) \(196145197056/153125\) \(14669055011340283203125\) \([]\) \(6566400\) \(3.1845\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

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

Modular form 63175.2.a.k

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