Properties

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

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Show commands: SageMath
E = EllipticCurve("dl1")
 
E.isogeny_class()
 

Elliptic curves in class 121680.dl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121680.dl1 121680bq1 \([0, 0, 0, -160212, 37849916]\) \(-504871936/394875\) \(-355702769311968000\) \([]\) \(1290240\) \(2.0664\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121680.dl1 has rank \(1\).

Complex multiplication

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

Modular form 121680.2.a.dl

sage: E.q_eigenform(10)
 
\(q + q^{5} - 3 q^{7} + 3 q^{11} + q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display