Properties

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

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Show commands: SageMath
E = EllipticCurve("ds1")
 
E.isogeny_class()
 

Elliptic curves in class 364650.ds

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
364650.ds1 364650ds1 \([1, 1, 1, -58938, 11465031]\) \(-1449073218392281/2811246362496\) \(-43925724414000000\) \([]\) \(4892160\) \(1.8831\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 364650.ds1 has rank \(1\).

Complex multiplication

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

Modular form 364650.2.a.ds

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{6} - q^{7} + q^{8} + q^{9} - q^{11} - q^{12} - q^{13} - q^{14} + q^{16} + q^{17} + q^{18} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display