Properties

Label 290145.t
Number of curves $1$
Conductor $290145$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 290145.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
290145.t1 290145t1 \([0, 1, 1, -2064935, 786901826]\) \(67121414144/20371905\) \(295538199641535560445\) \([]\) \(8860544\) \(2.6330\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 290145.t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 290145.t do not have complex multiplication.

Modular form 290145.2.a.t

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{4} + q^{5} + 3 q^{7} + q^{9} - 2 q^{12} + 4 q^{13} + q^{15} + 4 q^{16} - q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display