Properties

Label 397488.g
Number of curves $1$
Conductor $397488$
CM no
Rank $1$

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

Elliptic curves in class 397488.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
397488.g1 397488g1 \([0, -1, 0, -96062360, 253871853936]\) \(249395415529/73513818\) \(28897747051950719913664512\) \([]\) \(150958080\) \(3.5913\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 397488.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 397488.g do not have complex multiplication.

Modular form 397488.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{5} + q^{9} + 3 q^{11} + 4 q^{15} + 5 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display