Properties

Label 397800ba
Number of curves $1$
Conductor $397800$
CM no
Rank $1$

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

Elliptic curves in class 397800ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
397800.ba1 397800ba1 \([0, 0, 0, -12900, 157700]\) \(2035379200/1085773\) \(126644562720000\) \([]\) \(921600\) \(1.3974\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 397800ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 397800ba do not have complex multiplication.

Modular form 397800.2.a.ba

sage: E.q_eigenform(10)
 
\(q - 2 q^{7} - 2 q^{11} - q^{13} - q^{17} + O(q^{20})\) Copy content Toggle raw display