Properties

Label 364650.fq
Number of curves $1$
Conductor $364650$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("fq1")
 
E.isogeny_class()
 

Elliptic curves in class 364650.fq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
364650.fq1 364650fq1 \([1, 0, 0, -175188, 29848992]\) \(-38055453778613881/2634596250000\) \(-41165566406250000\) \([]\) \(5354496\) \(1.9389\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 364650.fq1 has rank \(0\).

Complex multiplication

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

Modular form 364650.2.a.fq

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