Properties

Label 273600e
Number of curves $1$
Conductor $273600$
CM no
Rank $1$

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

Elliptic curves in class 273600e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
273600.e1 273600e1 \([0, 0, 0, -115500, 15005000]\) \(584362240/4617\) \(1346317200000000\) \([]\) \(1843200\) \(1.7310\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 273600e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 273600e do not have complex multiplication.

Modular form 273600.2.a.e

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