Properties

Label 283024.cq
Number of curves $1$
Conductor $283024$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cq1")
 
E.isogeny_class()
 

Elliptic curves in class 283024.cq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
283024.cq1 283024cq1 \([0, -1, 0, -3369, 178949]\) \(-7168/19\) \(-11212727094016\) \([]\) \(414720\) \(1.1915\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 283024.cq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 283024.cq do not have complex multiplication.

Modular form 283024.2.a.cq

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} - 2 q^{5} + q^{9} + q^{11} - 4 q^{13} - 4 q^{15} - q^{17} + O(q^{20})\) Copy content Toggle raw display