Properties

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

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 236992.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
236992.u1 236992u1 \([0, 1, 0, -13805489, -19748358641]\) \(-226796578768/2401\) \(-3080596286008213504\) \([]\) \(10598400\) \(2.7038\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 236992.u1 has rank \(1\).

Complex multiplication

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

Modular form 236992.2.a.u

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + 3 q^{5} + q^{7} + q^{9} + 2 q^{11} + 3 q^{13} - 6 q^{15} + 6 q^{17} + O(q^{20})\) Copy content Toggle raw display