Properties

Label 2800d
Number of curves 11
Conductor 28002800
CM no
Rank 11

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

Elliptic curves in class 2800d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2800.bb1 2800d1 [0,1,0,28,147][0, -1, 0, -28, 147] 6288640/16807-6288640/16807 6722800-6722800 [][] 480480 0.0024397-0.0024397 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2800d1 has rank 11.

Complex multiplication

The elliptic curves in class 2800d do not have complex multiplication.

Modular form 2800.2.a.d

sage: E.q_eigenform(10)
 
q+2q3q7+q9q114q136q19+O(q20)q + 2 q^{3} - q^{7} + q^{9} - q^{11} - 4 q^{13} - 6 q^{19} + O(q^{20}) Copy content Toggle raw display