Properties

Label 119952.ct
Number of curves $1$
Conductor $119952$
CM no
Rank $1$

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

Elliptic curves in class 119952.ct

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
119952.ct1 119952cm1 \([0, 0, 0, -63, 154]\) \(81648/17\) \(5757696\) \([]\) \(16128\) \(0.012181\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 119952.ct1 has rank \(1\).

Complex multiplication

The elliptic curves in class 119952.ct do not have complex multiplication.

Modular form 119952.2.a.ct

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{13} - q^{17} + O(q^{20})\)  Toggle raw display