Properties

Label 466752.g
Number of curves $1$
Conductor $466752$
CM no
Rank $1$

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

Elliptic curves in class 466752.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
466752.g1 466752g1 \([0, -1, 0, -9745, -398639]\) \(-6247321674064/643308237\) \(-10539962155008\) \([]\) \(1612800\) \(1.2383\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 466752.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 466752.g do not have complex multiplication.

Modular form 466752.2.a.g

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