Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 97104.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
97104.p1 97104by1 \([0, -1, 0, -96, -16128]\) \(-83521/95256\) \(-112758718464\) \([]\) \(103680\) \(0.79972\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97104.p1 has rank \(1\).

Complex multiplication

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

Modular form 97104.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{7} + q^{9} - 5 q^{11} - 2 q^{13} + q^{15} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display