Properties

Label 121968el
Number of curves $1$
Conductor $121968$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("el1")
 
E.isogeny_class()
 

Elliptic curves in class 121968el

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121968.w1 121968el1 \([0, 0, 0, 7817469, 20758099714]\) \(146234339790153527/599838494072832\) \(-216724085652154113589248\) \([]\) \(12579840\) \(3.1604\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121968el1 has rank \(0\).

Complex multiplication

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

Modular form 121968.2.a.el

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