Properties

Label 418600j
Number of curves $1$
Conductor $418600$
CM no
Rank $1$

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

Elliptic curves in class 418600j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
418600.j1 418600j1 \([0, -1, 0, -27433, 2642237]\) \(-570820369408/418447211\) \(-1673788844000000\) \([]\) \(1520640\) \(1.6206\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 418600j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 418600j do not have complex multiplication.

Modular form 418600.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} - 2 q^{9} - 5 q^{11} - q^{13} + 4 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display