Properties

Label 272832t
Number of curves $1$
Conductor $272832$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 272832t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
272832.t1 272832t1 \([0, -1, 0, 3444831, -27982261215]\) \(146588258764583/11051773342848\) \(-340847514619143612530688\) \([]\) \(28385280\) \(3.1950\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 272832t1 has rank \(0\).

Complex multiplication

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

Modular form 272832.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{5} + q^{9} - q^{11} - 5 q^{13} + 2 q^{15} - 2 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display