Properties

Label 92575.j
Number of curves $1$
Conductor $92575$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 92575.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92575.j1 92575y1 \([0, -1, 1, -181623, -29734527]\) \(-35806478336/3703\) \(-68522112120875\) \([]\) \(287232\) \(1.6874\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92575.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 92575.j do not have complex multiplication.

Modular form 92575.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{4} - q^{7} - 2 q^{9} + q^{11} + 2 q^{12} - q^{13} + 4 q^{16} + q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display