Properties

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

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 97104.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
97104.o1 97104bz1 \([0, -1, 0, -24661, 5507869]\) \(-16777216/122451\) \(-12106422114791424\) \([]\) \(663552\) \(1.7691\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97104.o1 has rank \(1\).

Complex multiplication

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

Modular form 97104.2.a.o

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