Properties

Label 177600hy
Number of curves $1$
Conductor $177600$
CM no
Rank $1$

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

Elliptic curves in class 177600hy

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
177600.m1 177600hy1 \([0, -1, 0, -193, -863]\) \(975560/111\) \(90931200\) \([]\) \(62976\) \(0.25955\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 177600hy1 has rank \(1\).

Complex multiplication

The elliptic curves in class 177600hy do not have complex multiplication.

Modular form 177600.2.a.hy

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{7} + q^{9} + 6 q^{11} - q^{13} - 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display