Properties

Label 200277.bd
Number of curves $1$
Conductor $200277$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 200277.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
200277.bd1 200277bd1 \([0, 0, 1, -58089, -5948415]\) \(-1231925248/155771\) \(-2740991347049571\) \([]\) \(2211840\) \(1.6962\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 200277.bd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 200277.bd do not have complex multiplication.

Modular form 200277.2.a.bd

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