Properties

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

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 63426.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
63426.h1 63426g1 \([1, 1, 0, 957, 17325]\) \(100699396871/187067232\) \(-179771609952\) \([]\) \(122400\) \(0.84427\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 63426.h1 has rank \(1\).

Complex multiplication

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

Modular form 63426.2.a.h

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