Properties

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

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Show commands: SageMath
E = EllipticCurve("bh1")
 
E.isogeny_class()
 

Elliptic curves in class 97104.bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
97104.bh1 97104bn1 \([0, -1, 0, 1308496, -691328064]\) \(30004847/42336\) \(-349589986383498706944\) \([]\) \(3525120\) \(2.6275\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97104.bh1 has rank \(0\).

Complex multiplication

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

Modular form 97104.2.a.bh

sage: E.q_eigenform(10)
 
\(q - q^{3} + 3 q^{5} - q^{7} + q^{9} + q^{11} + 4 q^{13} - 3 q^{15} + O(q^{20})\) Copy content Toggle raw display