Properties

Label 331200.ba
Number of curves $1$
Conductor $331200$
CM no
Rank $1$

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

Elliptic curves in class 331200.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
331200.ba1 331200ba1 \([0, 0, 0, -900, 27000]\) \(-6912/23\) \(-268272000000\) \([]\) \(344064\) \(0.87919\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 331200.ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 331200.ba do not have complex multiplication.

Modular form 331200.2.a.ba

sage: E.q_eigenform(10)
 
\(q - 4 q^{7} - 2 q^{11} - 5 q^{13} + 4 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display