Properties

Label 185900.j
Number of curves $1$
Conductor $185900$
CM no
Rank $0$

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

Elliptic curves in class 185900.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
185900.j1 185900j1 \([0, -1, 0, -732333, 26372137]\) \(25600000/14641\) \(24841676051214880000\) \([]\) \(3414528\) \(2.4113\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 185900.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 185900.j do not have complex multiplication.

Modular form 185900.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} + 2 q^{7} - 2 q^{9} - q^{11} + 6 q^{17} + O(q^{20})\) Copy content Toggle raw display