Properties

Label 11400l
Number of curves 11
Conductor 1140011400
CM no
Rank 11

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 11400l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11400.bo1 11400l1 [0,1,0,1367,14363][0, 1, 0, 1367, 14363] 70575104/6173170575104/61731 246924000000-246924000000 [][] 1344013440 0.873520.87352 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11400l1 has rank 11.

Complex multiplication

The elliptic curves in class 11400l do not have complex multiplication.

Modular form 11400.2.a.l

sage: E.q_eigenform(10)
 
q+q3+3q7+q95q11+2q13+q17+q19+O(q20)q + q^{3} + 3 q^{7} + q^{9} - 5 q^{11} + 2 q^{13} + q^{17} + q^{19} + O(q^{20}) Copy content Toggle raw display