Properties

Label 2400.bd
Number of curves 11
Conductor 24002400
CM no
Rank 00

Related objects

Downloads

Learn more

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

Elliptic curves in class 2400.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2400.bd1 2400j1 [0,1,0,1667,42037][0, 1, 0, 1667, -42037] 12800/2712800/27 1080000000000-1080000000000 [][] 28802880 0.993300.99330 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2400.bd1 has rank 00.

Complex multiplication

The elliptic curves in class 2400.bd do not have complex multiplication.

Modular form 2400.2.a.bd

sage: E.q_eigenform(10)
 
q+q3+q7+q9+4q11+3q13+4q17+q19+O(q20)q + q^{3} + q^{7} + q^{9} + 4 q^{11} + 3 q^{13} + 4 q^{17} + q^{19} + O(q^{20}) Copy content Toggle raw display