Properties

Label 402930s
Number of curves $1$
Conductor $402930$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 402930s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
402930.s1 402930s1 \([1, -1, 0, -61656480, 78450488320]\) \(20071334919501405721/9557472612188160\) \(12343169743235767641047040\) \([]\) \(79994880\) \(3.5086\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 402930s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 402930s do not have complex multiplication.

Modular form 402930.2.a.s

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