Properties

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

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Show commands: SageMath
E = EllipticCurve("cr1")
 
E.isogeny_class()
 

Elliptic curves in class 364650.cr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
364650.cr1 364650cr1 \([1, 0, 1, -94861, 11237768]\) \(-755214315383134781/18298545408\) \(-2287318176000\) \([]\) \(1582080\) \(1.4818\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 364650.cr1 has rank \(1\).

Complex multiplication

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

Modular form 364650.2.a.cr

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