Properties

Label 126420g
Number of curves $1$
Conductor $126420$
CM no
Rank $0$

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

Elliptic curves in class 126420g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
126420.k1 126420g1 \([0, -1, 0, -227621, -41870079]\) \(-43304636317696/176326875\) \(-5310638212320000\) \([]\) \(1105920\) \(1.8735\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 126420g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 126420g do not have complex multiplication.

Modular form 126420.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} + q^{11} + 5 q^{13} + q^{15} + 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display