Properties

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

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 323400.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
323400.ba1 323400ba1 \([0, -1, 0, -374033, -28459563]\) \(602563032064/311953125\) \(2995997812500000000\) \([]\) \(6967296\) \(2.2373\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 323400.ba1 has rank \(1\).

Complex multiplication

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

Modular form 323400.2.a.ba

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - q^{11} + q^{13} - 8 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display