Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("cc1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 236992.cc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
236992.cc1 236992cc1 \([0, -1, 0, -26097, -1614031]\) \(-226796578768/2401\) \(-20809793536\) \([]\) \(460800\) \(1.1361\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 236992.cc1 has rank \(0\).

Complex multiplication

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

Modular form 236992.2.a.cc

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