Properties

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

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Show commands: SageMath
E = EllipticCurve("gu1")
 
E.isogeny_class()
 

Elliptic curves in class 176400.gu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
176400.gu1 176400eu1 \([0, 0, 0, -44421195, 114034544890]\) \(-1103770289367265/891813888\) \(-7832311585555297075200\) \([]\) \(21012480\) \(3.1306\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 176400.gu1 has rank \(0\).

Complex multiplication

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

Modular form 176400.2.a.gu

sage: E.q_eigenform(10)
 
\(q - 2 q^{11} + 7 q^{13} + 7 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display