Properties

Label 4140.d
Number of curves 11
Conductor 41404140
CM no
Rank 00

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 4140.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4140.d1 4140d1 [0,0,0,93,367][0, 0, 0, -93, -367] 7626496/575-7626496/575 6706800-6706800 [][] 720720 0.0582540.058254 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4140.d1 has rank 00.

Complex multiplication

The elliptic curves in class 4140.d do not have complex multiplication.

Modular form 4140.2.a.d

sage: E.q_eigenform(10)
 
qq52q7+4q11+q134q19+O(q20)q - q^{5} - 2 q^{7} + 4 q^{11} + q^{13} - 4 q^{19} + O(q^{20}) Copy content Toggle raw display