Properties

Label 215600.j
Number of curves $1$
Conductor $215600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 215600.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
215600.j1 215600h1 \([0, 0, 0, -199675, -41441750]\) \(-5729578281/1512500\) \(-232416800000000000\) \([]\) \(5253120\) \(2.0490\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 215600.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 215600.j do not have complex multiplication.

Modular form 215600.2.a.j

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + 6 q^{9} + q^{11} + 6 q^{13} + 8 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display