Properties

Label 388815.ba
Number of curves $1$
Conductor $388815$
CM no
Rank $2$

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

Elliptic curves in class 388815.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
388815.ba1 388815ba1 \([1, 1, 1, 24754015, 369639556040]\) \(182074754111/6511640625\) \(-59993106709873346232890625\) \([]\) \(111283200\) \(3.6263\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 388815.ba1 has rank \(2\).

Complex multiplication

The elliptic curves in class 388815.ba do not have complex multiplication.

Modular form 388815.2.a.ba

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} - q^{4} + q^{5} + q^{6} + 3 q^{8} + q^{9} - q^{10} + 5 q^{11} + q^{12} - q^{13} - q^{15} - q^{16} - q^{18} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display