Properties

Label 11400l
Number of curves $1$
Conductor $11400$
CM no
Rank $1$

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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 \([0, 1, 0, 1367, 14363]\) \(70575104/61731\) \(-246924000000\) \([]\) \(13440\) \(0.87352\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11400l1 has rank \(1\).

Complex multiplication

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

Modular form 11400.2.a.l

sage: E.q_eigenform(10)
 
\(q + q^{3} + 3 q^{7} + q^{9} - 5 q^{11} + 2 q^{13} + q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display