Properties

Label 41650t
Number of curves $1$
Conductor $41650$
CM no
Rank $1$

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

Elliptic curves in class 41650t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
41650.b1 41650t1 \([1, -1, 0, 15083, 238741]\) \(206425071/133280\) \(-245004042500000\) \([]\) \(276480\) \(1.4499\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 41650t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 41650t do not have complex multiplication.

Modular form 41650.2.a.t

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