Properties

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

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 97104.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
97104.n1 97104bf1 \([0, -1, 0, 16483019, -23305694531]\) \(5009339741732864/5271114033171\) \(-521141775083656402120704\) \([]\) \(11280384\) \(3.2376\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97104.n1 has rank \(0\).

Complex multiplication

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

Modular form 97104.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - q^{7} + q^{9} + 3 q^{11} + 3 q^{13} + q^{15} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display