Properties

Label 126400g
Number of curves $1$
Conductor $126400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 126400g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
126400.bf1 126400g1 \([0, -1, 0, -5633, 155137]\) \(4826809/316\) \(1294336000000\) \([]\) \(215040\) \(1.0739\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 126400g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 126400g do not have complex multiplication.

Modular form 126400.2.a.g

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