Properties

Label 28050.p
Number of curves $1$
Conductor $28050$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 28050.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28050.p1 28050b1 \([1, 1, 0, 2490, 367380]\) \(68251027208495/2358592929792\) \(-58964823244800\) \([]\) \(89376\) \(1.3223\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28050.p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 28050.p do not have complex multiplication.

Modular form 28050.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} + 2 q^{7} - q^{8} + q^{9} - q^{11} - q^{12} - 2 q^{14} + q^{16} - q^{17} - q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display