Properties

Label 58800.hp
Number of curves $1$
Conductor $58800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("hp1")
 
E.isogeny_class()
 

Elliptic curves in class 58800.hp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58800.hp1 58800dv1 \([0, 1, 0, -1841583, 982059588]\) \(-46028377077760/1162261467\) \(-17441186139168750000\) \([]\) \(1094400\) \(2.4762\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58800.hp1 has rank \(1\).

Complex multiplication

The elliptic curves in class 58800.hp do not have complex multiplication.

Modular form 58800.2.a.hp

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{9} + q^{13} - 6 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display