Properties

Label 121968s
Number of curves $1$
Conductor $121968$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 121968s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121968.cp1 121968s1 \([0, 0, 0, 885357, -1145779371]\) \(137566156032/1096135733\) \(-611549649581401271664\) \([]\) \(3870720\) \(2.6700\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121968s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 121968s do not have complex multiplication.

Modular form 121968.2.a.s

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{7} - 3 q^{13} + 2 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display