Properties

Label 121680.l
Number of curves $1$
Conductor $121680$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 121680.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121680.l1 121680w1 \([0, 0, 0, -3783, 89557]\) \(3037375744/25\) \(49280400\) \([]\) \(69120\) \(0.64644\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121680.l1 has rank \(2\).

Complex multiplication

The elliptic curves in class 121680.l do not have complex multiplication.

Modular form 121680.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{5} - 3 q^{7} - q^{11} - q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display