Properties

Label 271950.fq
Number of curves $1$
Conductor $271950$
CM no
Rank $0$

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

Elliptic curves in class 271950.fq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
271950.fq1 271950fq1 \([1, 1, 1, 1812, 116031]\) \(357911/3330\) \(-6121424531250\) \([]\) \(725760\) \(1.1348\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 271950.fq1 has rank \(0\).

Complex multiplication

The elliptic curves in class 271950.fq do not have complex multiplication.

Modular form 271950.2.a.fq

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