Properties

Label 3525.o
Number of curves $1$
Conductor $3525$
CM no
Rank $0$

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

Elliptic curves in class 3525.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3525.o1 3525o1 \([0, 1, 1, -458, 3869]\) \(-5451776/423\) \(-826171875\) \([]\) \(3040\) \(0.45855\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3525.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 3525.o do not have complex multiplication.

Modular form 3525.2.a.o

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