Properties

Label 310464.lc
Number of curves $1$
Conductor $310464$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("lc1")
 
E.isogeny_class()
 

Elliptic curves in class 310464.lc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
310464.lc1 310464lc1 \([0, 0, 0, -5292, 666792]\) \(-6912/77\) \(-182587151932416\) \([]\) \(589824\) \(1.4185\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 310464.lc1 has rank \(1\).

Complex multiplication

The elliptic curves in class 310464.lc do not have complex multiplication.

Modular form 310464.2.a.lc

sage: E.q_eigenform(10)
 
\(q + q^{5} - q^{11} - q^{13} + 2 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display