Properties

Label 272832x
Number of curves $1$
Conductor $272832$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 272832x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
272832.x1 272832x1 \([0, -1, 0, -359, 2745]\) \(-1636214272/2523\) \(-7912128\) \([]\) \(60672\) \(0.22300\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 272832x1 has rank \(2\).

Complex multiplication

The elliptic curves in class 272832x do not have complex multiplication.

Modular form 272832.2.a.x

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{5} + q^{9} + q^{13} + 2 q^{15} - 4 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display