Properties

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

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Show commands: SageMath
E = EllipticCurve("ct1")
 
E.isogeny_class()
 

Elliptic curves in class 92736.ct

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92736.ct1 92736dr1 \([0, 0, 0, 60, -1384]\) \(32000/1127\) \(-841300992\) \([]\) \(23040\) \(0.39247\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92736.ct1 has rank \(1\).

Complex multiplication

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

Modular form 92736.2.a.ct

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