Properties

Label 464.g
Number of curves $1$
Conductor $464$
CM no
Rank $0$

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

Elliptic curves in class 464.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
464.g1 464f1 \([0, 0, 0, -4831, 129242]\) \(-48707390098512/29\) \(-7424\) \([]\) \(480\) \(0.50080\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 464.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 464.g do not have complex multiplication.

Modular form 464.2.a.g

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + 3 q^{5} - 4 q^{7} + 6 q^{9} + q^{11} - 3 q^{13} + 9 q^{15} + 2 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display