Properties

Label 308763.n
Number of curves $1$
Conductor $308763$
CM no
Rank $0$

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

Elliptic curves in class 308763.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
308763.n1 308763n1 \([0, 0, 1, -4801368, -2014863575]\) \(99358370463056134144/43263947711229021\) \(5330161621971126616221\) \([]\) \(11059200\) \(2.8651\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 308763.n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 308763.n do not have complex multiplication.

Modular form 308763.2.a.n

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} - q^{5} + q^{7} + 4 q^{16} + 8 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display