Properties

Label 48400bq
Number of curves $1$
Conductor $48400$
CM no
Rank $2$

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

Elliptic curves in class 48400bq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
48400.a1 48400bq1 \([0, 0, 0, 1925, 30250]\) \(9261/10\) \(-851840000000\) \([]\) \(138240\) \(0.97584\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 48400bq1 has rank \(2\).

Complex multiplication

The elliptic curves in class 48400bq do not have complex multiplication.

Modular form 48400.2.a.bq

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - 5 q^{7} + 6 q^{9} - 4 q^{13} + q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display