Properties

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

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 97104.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
97104.m1 97104bg1 \([0, -1, 0, -173496, 28809072]\) \(-5841725401/231336\) \(-22871607960305664\) \([]\) \(829440\) \(1.9077\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97104.m1 has rank \(2\).

Complex multiplication

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

Modular form 97104.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - q^{7} + q^{9} + 3 q^{11} - 3 q^{13} + q^{15} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display