Properties

Label 70560.bq
Number of curves $1$
Conductor $70560$
CM no
Rank $1$

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

Elliptic curves in class 70560.bq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
70560.bq1 70560cs1 \([0, 0, 0, -1612443, 788099438]\) \(-215474070728/3645\) \(-7842948117096960\) \([]\) \(709632\) \(2.1799\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 70560.bq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 70560.bq do not have complex multiplication.

Modular form 70560.2.a.bq

sage: E.q_eigenform(10)
 
\(q - q^{5} + 3 q^{11} - q^{13} - 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display