Properties

Label 236992.cv
Number of curves $1$
Conductor $236992$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cv1")
 
E.isogeny_class()
 

Elliptic curves in class 236992.cv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
236992.cv1 236992cv1 \([0, 0, 0, -17814604, 29363059112]\) \(-4124632486295808/70140333767\) \(-10632485543889473395712\) \([]\) \(22708224\) \(3.0251\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 236992.cv1 has rank \(1\).

Complex multiplication

The elliptic curves in class 236992.cv do not have complex multiplication.

Modular form 236992.2.a.cv

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + 2 q^{5} - q^{7} + 6 q^{9} - 2 q^{11} + q^{13} + 6 q^{15} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display