Properties

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

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Show commands: SageMath
E = EllipticCurve("in1")
 
E.isogeny_class()
 

Elliptic curves in class 273600in

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
273600.in1 273600in1 \([0, 0, 0, 22740, 6290480]\) \(272199695/3735552\) \(-17846877605068800\) \([]\) \(1179648\) \(1.7991\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 273600in1 has rank \(1\).

Complex multiplication

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

Modular form 273600.2.a.in

sage: E.q_eigenform(10)
 
\(q + q^{11} - 4 q^{13} - 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display