Properties

Label 180336y
Number of curves $1$
Conductor $180336$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 180336y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
180336.c1 180336y1 \([0, -1, 0, -12472, -427664]\) \(181262952217/36846576\) \(43616913260544\) \([]\) \(456192\) \(1.3329\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 180336y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 180336y do not have complex multiplication.

Modular form 180336.2.a.y

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} - 3 q^{7} + q^{9} + 2 q^{11} + q^{13} + 3 q^{15} + q^{19} + O(q^{20})\) Copy content Toggle raw display