Properties

Label 97104j
Number of curves $1$
Conductor $97104$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 97104j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
97104.y1 97104j1 \([0, -1, 0, -8188, -309701]\) \(-544000/63\) \(-7031563500528\) \([]\) \(215424\) \(1.2014\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97104j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 97104j do not have complex multiplication.

Modular form 97104.2.a.j

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