Properties

Label 450840.ct
Number of curves $1$
Conductor $450840$
CM no
Rank $1$

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

Elliptic curves in class 450840.ct

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450840.ct1 450840ct1 \([0, 1, 0, 3440, 16400]\) \(15208100924/9140625\) \(-2705040000000\) \([]\) \(645120\) \(1.0748\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 450840.ct1 has rank \(1\).

Complex multiplication

The elliptic curves in class 450840.ct do not have complex multiplication.

Modular form 450840.2.a.ct

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