Properties

Label 63426.q
Number of curves $1$
Conductor $63426$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 63426.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
63426.q1 63426r1 \([1, 0, 1, -67, -322]\) \(-33874537/25344\) \(-24355584\) \([]\) \(19200\) \(0.11657\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 63426.q1 has rank \(0\).

Complex multiplication

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

Modular form 63426.2.a.q

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