Properties

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

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 28314.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28314.j1 28314bb1 \([1, -1, 0, -468, -20696]\) \(-128667913/2047032\) \(-180566645688\) \([]\) \(31104\) \(0.84125\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28314.j1 has rank \(0\).

Complex multiplication

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

Modular form 28314.2.a.j

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