Properties

Label 28314.ba
Number of curves $1$
Conductor $28314$
CM no
Rank $0$

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

Elliptic curves in class 28314.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28314.ba1 28314k1 \([1, -1, 0, -231138, 42858778]\) \(-1407450852604763/1119214746\) \(-1085972948829054\) \([]\) \(258048\) \(1.8155\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28314.ba1 has rank \(0\).

Complex multiplication

The elliptic curves in class 28314.ba do not have complex multiplication.

Modular form 28314.2.a.ba

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 3 q^{5} - 3 q^{7} - q^{8} - 3 q^{10} - q^{13} + 3 q^{14} + q^{16} + 2 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display