Properties

Label 177450ju
Number of curves $1$
Conductor $177450$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ju1")
 
E.isogeny_class()
 

Elliptic curves in class 177450ju

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
177450.k1 177450ju1 \([1, 1, 0, -19293550, 32399576500]\) \(368728437337/2752512\) \(5929018017441792000000\) \([]\) \(19009536\) \(3.0082\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 177450ju1 has rank \(1\).

Complex multiplication

The elliptic curves in class 177450ju do not have complex multiplication.

Modular form 177450.2.a.ju

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{7} - q^{8} + q^{9} - 3 q^{11} - q^{12} + q^{14} + q^{16} + 7 q^{17} - q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display