Properties

Label 102850.c
Number of curves $1$
Conductor $102850$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 102850.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
102850.c1 102850bd1 \([1, -1, 0, -61672, -5880704]\) \(-585727549785/131648\) \(-5830561563200\) \([]\) \(1105920\) \(1.4421\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 102850.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 102850.c do not have complex multiplication.

Modular form 102850.2.a.c

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