Properties

Label 296240ct
Number of curves $1$
Conductor $296240$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ct1")
 
E.isogeny_class()
 

Elliptic curves in class 296240ct

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
296240.ct1 296240ct1 \([0, 1, 0, -495320, 134315843]\) \(-5674076449024/14904575\) \(-35302592164674800\) \([]\) \(2838528\) \(2.0505\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 296240ct1 has rank \(1\).

Complex multiplication

The elliptic curves in class 296240ct do not have complex multiplication.

Modular form 296240.2.a.ct

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - q^{7} - 2 q^{9} - 2 q^{11} - 5 q^{13} + q^{15} + 6 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display