Properties

Label 97461.o
Number of curves $1$
Conductor $97461$
CM no
Rank $1$

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

Elliptic curves in class 97461.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
97461.o1 97461u1 \([0, 0, 1, -399252, 100468044]\) \(-239251750912/9771957\) \(-287469276338797371\) \([]\) \(1175552\) \(2.1176\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97461.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 97461.o do not have complex multiplication.

Modular form 97461.2.a.o

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