Properties

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

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 28314q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28314.v1 28314q1 \([1, -1, 0, -666, 6804]\) \(-370680937/1248\) \(-110084832\) \([]\) \(9600\) \(0.40745\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28314q1 has rank \(1\).

Complex multiplication

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

Modular form 28314.2.a.q

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