Properties

Label 338100.g
Number of curves $1$
Conductor $338100$
CM no
Rank $0$

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

Elliptic curves in class 338100.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
338100.g1 338100g1 \([0, -1, 0, -424258, 106497637]\) \(689411888107264/56588625\) \(693210656250000\) \([]\) \(2612736\) \(1.8923\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338100.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 338100.g do not have complex multiplication.

Modular form 338100.2.a.g

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