Properties

Label 326700.g
Number of curves $1$
Conductor $326700$
CM no
Rank $2$

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

Elliptic curves in class 326700.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
326700.g1 326700g1 \([0, 0, 0, -14636160, -3388859100]\) \(34527510528/19487171\) \(195699036421150235424000\) \([]\) \(37739520\) \(3.1593\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 326700.g1 has rank \(2\).

Complex multiplication

The elliptic curves in class 326700.g do not have complex multiplication.

Modular form 326700.2.a.g

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