Properties

Label 310464nc
Number of curves $1$
Conductor $310464$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("nc1")
 
E.isogeny_class()
 

Elliptic curves in class 310464nc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
310464.nc1 310464nc1 \([0, 0, 0, -1736364, 880892208]\) \(-34068278205171/10307264\) \(-175161738088415232\) \([]\) \(3870720\) \(2.2863\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 310464nc1 has rank \(1\).

Complex multiplication

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

Modular form 310464.2.a.nc

sage: E.q_eigenform(10)
 
\(q + 2 q^{5} - q^{11} - 2 q^{13} + q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display