Properties

Label 103155.o
Number of curves $1$
Conductor $103155$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 103155.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
103155.o1 103155m1 \([0, 1, 1, -35090, 3962969]\) \(-32278933504/27421875\) \(-4059421643671875\) \([]\) \(1047816\) \(1.6926\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 103155.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 103155.o do not have complex multiplication.

Modular form 103155.2.a.o

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + q^{3} + 2 q^{4} + q^{5} + 2 q^{6} + q^{7} + q^{9} + 2 q^{10} - 5 q^{11} + 2 q^{12} - q^{13} + 2 q^{14} + q^{15} - 4 q^{16} + 7 q^{17} + 2 q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display