Properties

Label 162624ba
Number of curves $1$
Conductor $162624$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 162624ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
162624.hp1 162624ba1 \([0, 1, 0, -645, 5091]\) \(123904/21\) \(5037441024\) \([]\) \(86016\) \(0.58243\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 162624ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 162624ba do not have complex multiplication.

Modular form 162624.2.a.ba

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + q^{7} + q^{9} + q^{15} + 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display