Properties

Label 237160ct
Number of curves $1$
Conductor $237160$
CM no
Rank $0$

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

Elliptic curves in class 237160ct

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
237160.ct1 237160ct1 \([0, 0, 0, -2442748, 1513863428]\) \(-30211716096/1071875\) \(-57191101096421600000\) \([]\) \(13708800\) \(2.5634\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 237160ct1 has rank \(0\).

Complex multiplication

The elliptic curves in class 237160ct do not have complex multiplication.

Modular form 237160.2.a.ct

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