Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 41650b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
41650.n1 41650b1 \([1, -1, 0, 10183, -5376659]\) \(1296351/139264\) \(-12544206976000000\) \([]\) \(305760\) \(1.7684\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 41650b1 has rank \(1\).

Complex multiplication

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

Modular form 41650.2.a.b

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