Properties

Label 152592.s
Number of curves $1$
Conductor $152592$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 152592.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
152592.s1 152592bw1 \([0, -1, 0, -1781781, -924101091]\) \(-75759616/891\) \(-7357442315469041664\) \([]\) \(2820096\) \(2.4328\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 152592.s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 152592.s do not have complex multiplication.

Modular form 152592.2.a.s

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} + q^{11} + 2 q^{13} + q^{15} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display