Properties

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

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 273600y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
273600.y1 273600y1 \([0, 0, 0, -51375, 5227720]\) \(-12856765000000/2681615217\) \(-3127835989108800\) \([]\) \(1376256\) \(1.6951\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 273600y1 has rank \(1\).

Complex multiplication

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

Modular form 273600.2.a.y

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