Properties

Label 175175v
Number of curves $1$
Conductor $175175$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 175175v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
175175.v1 175175v1 \([0, -1, 1, -19454633, -33141442832]\) \(-442980486619070464/1864582578859\) \(-3427598059690351421875\) \([]\) \(11289600\) \(2.9869\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 175175v1 has rank \(0\).

Complex multiplication

The elliptic curves in class 175175v do not have complex multiplication.

Modular form 175175.2.a.v

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} - 2 q^{4} + q^{9} - q^{11} - 4 q^{12} - q^{13} + 4 q^{16} + 2 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display