Properties

Label 182772.a
Number of curves $1$
Conductor $182772$
CM no
Rank $1$

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

Elliptic curves in class 182772.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
182772.a1 182772a1 \([0, 0, 0, -984, -11788]\) \(564600832/5077\) \(947490048\) \([]\) \(72000\) \(0.54519\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 182772.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 182772.a do not have complex multiplication.

Modular form 182772.2.a.a

sage: E.q_eigenform(10)
 
\(q + 2 q^{5} - 4 q^{11} - 2 q^{13} + 6 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display