Properties

Label 92736.cx
Number of curves $1$
Conductor $92736$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cx1")
 
E.isogeny_class()
 

Elliptic curves in class 92736.cx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92736.cx1 92736eh1 \([0, 0, 0, -1020, 12616]\) \(-157216000/1127\) \(-841300992\) \([]\) \(46080\) \(0.54497\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92736.cx1 has rank \(0\).

Complex multiplication

The elliptic curves in class 92736.cx do not have complex multiplication.

Modular form 92736.2.a.cx

sage: E.q_eigenform(10)
 
\(q - q^{7} + 6 q^{11} + 3 q^{13} + O(q^{20})\) Copy content Toggle raw display