Properties

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

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 272832.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
272832.a1 272832a1 \([0, -1, 0, -9865, 403201]\) \(-881395456/63423\) \(-7640732187648\) \([]\) \(887040\) \(1.2218\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 272832.a1 has rank \(0\).

Complex multiplication

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

Modular form 272832.2.a.a

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