Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("cr1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 236992.cr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
236992.cr1 236992cr1 \([0, 0, 0, 112148, 486680]\) \(1029037824/596183\) \(-90374635941567488\) \([]\) \(5677056\) \(1.9430\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 236992.cr1 has rank \(1\).

Complex multiplication

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

Modular form 236992.2.a.cr

sage: E.q_eigenform(10)
 
\(q + 3q^{3} - 4q^{5} + q^{7} + 6q^{9} + 2q^{11} - 5q^{13} - 12q^{15} - 4q^{19} + O(q^{20})\)  Toggle raw display