Properties

Label 74382.bq
Number of curves $1$
Conductor $74382$
CM no
Rank $0$

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

Elliptic curves in class 74382.bq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
74382.bq1 74382bx1 \([1, 0, 0, -638, 6600]\) \(-244140625/21252\) \(-2500276548\) \([]\) \(44544\) \(0.54750\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 74382.bq1 has rank \(0\).

Complex multiplication

The elliptic curves in class 74382.bq do not have complex multiplication.

Modular form 74382.2.a.bq

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} + q^{8} + q^{9} + q^{11} + q^{12} + q^{13} + q^{16} - 5 q^{17} + q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display