Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 236992.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
236992.a1 236992a1 \([0, 0, 0, 112148, -486680]\) \(1029037824/596183\) \(-90374635941567488\) \([]\) \(5677056\) \(1.9430\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 236992.a1 has rank \(1\).

Complex multiplication

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

Modular form 236992.2.a.a

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