Properties

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

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Show commands: SageMath
E = EllipticCurve("cv1")
 
E.isogeny_class()
 

Elliptic curves in class 121968cv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121968.b1 121968cv1 \([0, 0, 0, -3267, -80190]\) \(-395307/56\) \(-546291744768\) \([]\) \(207360\) \(0.98326\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121968cv1 has rank \(1\).

Complex multiplication

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

Modular form 121968.2.a.cv

sage: E.q_eigenform(10)
 
\(q - 4 q^{5} - q^{7} + q^{13} - 2 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display