Properties

Label 185020.e
Number of curves $1$
Conductor $185020$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 185020.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
185020.e1 185020e1 \([0, 1, 0, -1942990, 1048931145]\) \(-101351846656/805255\) \(-6445214804302560880\) \([]\) \(5220000\) \(2.4374\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 185020.e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 185020.e do not have complex multiplication.

Modular form 185020.2.a.e

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{5} + 3 q^{7} + q^{9} - q^{11} + q^{13} - 2 q^{15} + 7 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display