Properties

Label 119025.ct
Number of curves $1$
Conductor $119025$
CM no
Rank $0$

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

Elliptic curves in class 119025.ct

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
119025.ct1 119025cq1 \([0, 0, 1, -87285, 9961731]\) \(-5451776/23\) \(-310264718857875\) \([]\) \(709632\) \(1.6353\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 119025.ct1 has rank \(0\).

Complex multiplication

The elliptic curves in class 119025.ct do not have complex multiplication.

Modular form 119025.2.a.ct

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} + q^{7} - 2 q^{13} + 2 q^{14} - 4 q^{16} + 5 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display