Properties

Label 38646.bd
Number of curves $1$
Conductor $38646$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bd1")
 
E.isogeny_class()
 

Elliptic curves in class 38646.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38646.bd1 38646z1 \([1, -1, 1, -59, 105]\) \(30664297/12882\) \(9390978\) \([]\) \(7936\) \(0.034880\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38646.bd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 38646.bd do not have complex multiplication.

Modular form 38646.2.a.bd

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 2 q^{5} - q^{7} + q^{8} + 2 q^{10} - 3 q^{11} + 6 q^{13} - q^{14} + q^{16} - 7 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display