Properties

Label 162624.he
Number of curves $1$
Conductor $162624$
CM no
Rank $0$

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

Elliptic curves in class 162624.he

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
162624.he1 162624bb1 \([0, 1, 0, -78085, -7088413]\) \(123904/21\) \(8924134057918464\) \([]\) \(946176\) \(1.7814\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 162624.he1 has rank \(0\).

Complex multiplication

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

Modular form 162624.2.a.he

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