Properties

Label 28314s
Number of curves $1$
Conductor $28314$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 28314s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28314.f1 28314s1 \([1, -1, 0, -146493, 21166789]\) \(2224882033/53248\) \(8320938456010752\) \([]\) \(190080\) \(1.8396\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28314s1 has rank \(1\).

Complex multiplication

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

Modular form 28314.2.a.s

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