Properties

Label 102550d
Number of curves $1$
Conductor $102550$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 102550d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
102550.k1 102550d1 \([1, -1, 0, 1708, 17616]\) \(35255286639/29403136\) \(-459424000000\) \([]\) \(172480\) \(0.92548\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 102550d1 has rank \(0\).

Complex multiplication

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

Modular form 102550.2.a.d

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