Properties

Label 111600fj
Number of curves $1$
Conductor $111600$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("fj1")
 
E.isogeny_class()
 

Elliptic curves in class 111600fj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
111600.be1 111600fj1 \([0, 0, 0, -1515, 24730]\) \(-5151505/558\) \(-41654476800\) \([]\) \(73728\) \(0.77582\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 111600fj1 has rank \(2\).

Complex multiplication

The elliptic curves in class 111600fj do not have complex multiplication.

Modular form 111600.2.a.fj

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} - q^{11} - 3 q^{13} - 4 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display