Properties

Label 236992.z
Number of curves $1$
Conductor $236992$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("z1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 236992.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
236992.z1 236992z1 \([0, -1, 0, -59953, -5665159]\) \(-157216000/1127\) \(-170840521628672\) \([]\) \(811008\) \(1.5634\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 236992.z1 has rank \(0\).

Complex multiplication

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

Modular form 236992.2.a.z

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