Properties

Label 130680k
Number of curves $1$
Conductor $130680$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 130680k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
130680.df1 130680k1 \([0, 0, 0, -199287, -35685441]\) \(-1568892672/78125\) \(-43587043953750000\) \([]\) \(1411200\) \(1.9539\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 130680k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 130680k do not have complex multiplication.

Modular form 130680.2.a.k

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