Properties

Label 405600eg
Number of curves $1$
Conductor $405600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("eg1")
 
E.isogeny_class()
 

Elliptic curves in class 405600eg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
405600.eg1 405600eg1 \([0, 1, 0, 2232, -964872]\) \(43709080/14348907\) \(-403514223091200\) \([]\) \(1762560\) \(1.4817\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 405600eg1 has rank \(1\).

Complex multiplication

The elliptic curves in class 405600eg do not have complex multiplication.

Modular form 405600.2.a.eg

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