Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 236992.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
236992.c1 236992c1 \([0, 0, 0, 51683300, -3622427472536]\) \(100718081964000000/37453512751940327\) \(-5677531193760074529173199872\) \([]\) \(206807040\) \(4.0046\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 236992.c1 has rank \(1\).

Complex multiplication

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

Modular form 236992.2.a.c

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