Properties

Label 176400.hy
Number of curves $1$
Conductor $176400$
CM no
Rank $0$

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

Elliptic curves in class 176400.hy

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
176400.hy1 176400fc1 \([0, 0, 0, -129675, 18184250]\) \(-105484561/1440\) \(-3292047360000000\) \([]\) \(1105920\) \(1.7844\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 176400.hy1 has rank \(0\).

Complex multiplication

The elliptic curves in class 176400.hy do not have complex multiplication.

Modular form 176400.2.a.hy

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