Properties

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

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Show commands: SageMath
E = EllipticCurve("po1")
 
E.isogeny_class()
 

Elliptic curves in class 176400po

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
176400.mz1 176400po1 \([0, 0, 0, 2205, 92610]\) \(270\) \(-4391225395200\) \([]\) \(241920\) \(1.1087\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 176400po1 has rank \(1\).

Complex multiplication

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

Modular form 176400.2.a.po

sage: E.q_eigenform(10)
 
\(q + q^{11} + 4 q^{13} - 5 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display