Properties

Label 126350bi
Number of curves $1$
Conductor $126350$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bi1")
 
E.isogeny_class()
 

Elliptic curves in class 126350bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
126350.bu1 126350bi1 \([1, -1, 0, -64867, -6858859]\) \(-1026590625/100352\) \(-2950717656320000\) \([]\) \(1858032\) \(1.7093\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 126350bi1 has rank \(1\).

Complex multiplication

The elliptic curves in class 126350bi do not have complex multiplication.

Modular form 126350.2.a.bi

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