Properties

Label 176400ny
Number of curves $1$
Conductor $176400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ny1")
 
E.isogeny_class()
 

Elliptic curves in class 176400ny

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
176400.bv1 176400ny1 \([0, 0, 0, -1337700, -596648500]\) \(-2249728/5\) \(-588355590060000000\) \([]\) \(3870720\) \(2.2924\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 176400ny1 has rank \(1\).

Complex multiplication

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

Modular form 176400.2.a.ny

sage: E.q_eigenform(10)
 
\(q - 5 q^{11} + 7 q^{13} + 3 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display