Properties

Label 97104bh
Number of curves $1$
Conductor $97104$
CM no
Rank $2$

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

Elliptic curves in class 97104bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
97104.l1 97104bh1 \([0, -1, 0, -1456, 21952]\) \(-288568081/1176\) \(-1392082944\) \([]\) \(41472\) \(0.61063\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97104bh1 has rank \(2\).

Complex multiplication

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

Modular form 97104.2.a.bh

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