Properties

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

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 272832.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
272832.j1 272832j1 \([0, -1, 0, 1503, -51519]\) \(24334/87\) \(-1341582606336\) \([]\) \(483840\) \(1.0100\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 272832.j1 has rank \(0\).

Complex multiplication

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

Modular form 272832.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} + q^{9} - 2 q^{11} + 4 q^{13} + 3 q^{15} - 7 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display