Properties

Label 2925.o
Number of curves $1$
Conductor $2925$
CM no
Rank $1$

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

Elliptic curves in class 2925.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2925.o1 2925q1 \([1, -1, 0, -10242, 417541]\) \(-417267265/19773\) \(-5630670703125\) \([]\) \(5760\) \(1.2093\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2925.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2925.o do not have complex multiplication.

Modular form 2925.2.a.o

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