Properties

Label 338800hy
Number of curves $1$
Conductor $338800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("hy1")
 
E.isogeny_class()
 

Elliptic curves in class 338800hy

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
338800.hy1 338800hy1 \([0, 0, 0, -4840, 133100]\) \(-221184/7\) \(-396829664000\) \([]\) \(777600\) \(1.0018\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338800hy1 has rank \(0\).

Complex multiplication

The elliptic curves in class 338800hy do not have complex multiplication.

Modular form 338800.2.a.hy

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - q^{7} + 6 q^{9} + q^{13} - 5 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display