Properties

Label 302016n
Number of curves $1$
Conductor $302016$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 302016n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
302016.n1 302016n1 \([0, -1, 0, -190762469, -1014052143597]\) \(-462482914449031168/3326427\) \(-5521852768206760128\) \([]\) \(49268736\) \(3.1931\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 302016n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 302016n do not have complex multiplication.

Modular form 302016.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{5} - 5 q^{7} + q^{9} - q^{13} + 2 q^{15} - 2 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display