Properties

Label 323400.v
Number of curves $1$
Conductor $323400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 323400.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
323400.v1 323400v1 \([0, -1, 0, 29634792, 31275326412]\) \(30580960408750/22189767831\) \(-2088483196439455200000000\) \([]\) \(53913600\) \(3.3549\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 323400.v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 323400.v do not have complex multiplication.

Modular form 323400.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - q^{11} - 8 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display