Properties

Label 97104.u
Number of curves $1$
Conductor $97104$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 97104.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
97104.u1 97104be1 \([0, -1, 0, -9378, 352755]\) \(-19727991904000/3720087\) \(-17201682288\) \([]\) \(114048\) \(0.96551\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97104.u1 has rank \(0\).

Complex multiplication

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

Modular form 97104.2.a.u

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