Properties

Label 5175.y
Number of curves $1$
Conductor $5175$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 5175.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5175.y1 5175n1 \([0, 0, 1, 1575, 36281]\) \(37933056/71875\) \(-818701171875\) \([]\) \(7680\) \(0.97054\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5175.y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5175.y do not have complex multiplication.

Modular form 5175.2.a.y

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} - q^{7} - 2 q^{11} + 2 q^{13} - 2 q^{14} - 4 q^{16} + 3 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display