Properties

Label 393008.bq
Number of curves $1$
Conductor $393008$
CM no
Rank $0$

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

Elliptic curves in class 393008.bq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
393008.bq1 393008bq1 \([0, 1, 0, -645, -8461]\) \(-495616/203\) \(-12173815808\) \([]\) \(314880\) \(0.64357\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 393008.bq1 has rank \(0\).

Complex multiplication

The elliptic curves in class 393008.bq do not have complex multiplication.

Modular form 393008.2.a.bq

sage: E.q_eigenform(10)
 
\(q + q^{3} - 4 q^{5} + q^{7} - 2 q^{9} + 2 q^{13} - 4 q^{15} - 5 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display