Properties

Label 102550.p
Number of curves $1$
Conductor $102550$
CM no
Rank $1$

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

Elliptic curves in class 102550.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
102550.p1 102550k1 \([1, 1, 0, -875, -12625]\) \(-4750104241/1406986\) \(-21984156250\) \([]\) \(94080\) \(0.69886\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 102550.p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 102550.p do not have complex multiplication.

Modular form 102550.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{2} + 2 q^{3} + q^{4} - 2 q^{6} + q^{7} - q^{8} + q^{9} - 2 q^{11} + 2 q^{12} - 5 q^{13} - q^{14} + q^{16} + 3 q^{17} - q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display