Properties

Label 54208bq
Number of curves $1$
Conductor $54208$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bq1")
 
E.isogeny_class()
 

Elliptic curves in class 54208bq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54208.b1 54208bq1 \([0, 0, 0, -8140396, -14674967120]\) \(-8773917273/8605184\) \(-58509573797375268356096\) \([]\) \(9123840\) \(3.0646\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54208bq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 54208bq do not have complex multiplication.

Modular form 54208.2.a.bq

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - 2 q^{5} + q^{7} + 6 q^{9} + 5 q^{13} + 6 q^{15} - 8 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display