Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 63426.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
63426.p1 63426m1 \([1, 0, 1, -6112, -305362]\) \(-26269282691257/26575110144\) \(-25538680848384\) \([]\) \(188160\) \(1.2682\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 63426.p1 has rank \(1\).

Complex multiplication

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

Modular form 63426.2.a.p

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