Properties

Label 364650.ex
Number of curves $1$
Conductor $364650$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ex1")
 
E.isogeny_class()
 

Elliptic curves in class 364650.ex

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
364650.ex1 364650ex1 \([1, 1, 1, 23287, 10009031]\) \(89380576197431/2816153442960\) \(-44002397546250000\) \([]\) \(3548160\) \(1.8736\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 364650.ex1 has rank \(1\).

Complex multiplication

The elliptic curves in class 364650.ex do not have complex multiplication.

Modular form 364650.2.a.ex

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{6} + 4 q^{7} + q^{8} + q^{9} + q^{11} - q^{12} - q^{13} + 4 q^{14} + q^{16} - q^{17} + q^{18} + O(q^{20})\) Copy content Toggle raw display