Properties

Label 19950.ct
Number of curves $1$
Conductor $19950$
CM no
Rank $0$

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

Elliptic curves in class 19950.ct

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
19950.ct1 19950db1 \([1, 0, 0, -8232713, -21095905383]\) \(-98735339854432038328225/250451215107692352768\) \(-156532009442307720480000\) \([]\) \(2096640\) \(3.1384\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19950.ct1 has rank \(0\).

Complex multiplication

The elliptic curves in class 19950.ct do not have complex multiplication.

Modular form 19950.2.a.ct

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} - q^{7} + q^{8} + q^{9} - 2 q^{11} + q^{12} - 3 q^{13} - q^{14} + q^{16} + 2 q^{17} + q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display