Properties

Label 166464he
Number of curves $1$
Conductor $166464$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("he1")
 
E.isogeny_class()
 

Elliptic curves in class 166464he

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
166464.fa1 166464he1 \([0, 0, 0, 124848, -4244832]\) \(27648/17\) \(-132328588913197056\) \([]\) \(884736\) \(1.9745\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 166464he1 has rank \(1\).

Complex multiplication

The elliptic curves in class 166464he do not have complex multiplication.

Modular form 166464.2.a.he

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