Properties

Label 415152.bd
Number of curves 11
Conductor 415152415152
CM no
Rank 00

Related objects

Downloads

Learn more

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

Elliptic curves in class 415152.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
415152.bd1 415152bd1 [0,0,0,207576,106175124][0, 0, 0, -207576, -106175124] 221184/961-221184/961 4297588298227507968-4297588298227507968 [][] 66355206635520 2.26042.2604 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 415152.bd1 has rank 00.

Complex multiplication

The elliptic curves in class 415152.bd do not have complex multiplication.

Modular form 415152.2.a.bd

sage: E.q_eigenform(10)
 
q2q5+3q7+q136q177q19+O(q20)q - 2 q^{5} + 3 q^{7} + q^{13} - 6 q^{17} - 7 q^{19} + O(q^{20}) Copy content Toggle raw display