Properties

Label 63426.j
Number of curves $1$
Conductor $63426$
CM no
Rank $1$

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

Elliptic curves in class 63426.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
63426.j1 63426n1 \([1, 0, 1, -2923863, 2230278682]\) \(-104553677431/20785248\) \(-549554103635842581408\) \([]\) \(4364800\) \(2.7025\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 63426.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 63426.j do not have complex multiplication.

Modular form 63426.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - 4 q^{5} - q^{6} + q^{7} - q^{8} + q^{9} + 4 q^{10} - q^{11} + q^{12} - 2 q^{13} - q^{14} - 4 q^{15} + q^{16} + 3 q^{17} - q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display