Properties

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

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Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 180336be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
180336.m1 180336be1 \([0, -1, 0, -96, 192]\) \(83521/39\) \(46166016\) \([]\) \(36864\) \(0.16507\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 180336be1 has rank \(1\).

Complex multiplication

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

Modular form 180336.2.a.be

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