Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 102550.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
102550.b1 102550m1 \([1, -1, 0, -72217, -7451759]\) \(-66644667756984825/137884628\) \(-86177892500\) \([]\) \(616896\) \(1.3479\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 102550.b1 has rank \(1\).

Complex multiplication

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

Modular form 102550.2.a.b

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