Properties

Label 2400.ba
Number of curves $1$
Conductor $2400$
CM no
Rank $1$

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

Elliptic curves in class 2400.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2400.ba1 2400n1 \([0, 1, 0, 67, 363]\) \(12800/27\) \(-69120000\) \([]\) \(576\) \(0.18858\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2400.ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2400.ba do not have complex multiplication.

Modular form 2400.2.a.ba

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{7} + q^{9} - 4 q^{11} - 3 q^{13} - 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display