Properties

Label 304200.n
Number of curves $1$
Conductor $304200$
CM no
Rank $1$

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

Elliptic curves in class 304200.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
304200.n1 304200n1 \([0, 0, 0, -207781275, -1163353792250]\) \(-616966948/6561\) \(-10549966286408314896000000\) \([]\) \(86261760\) \(3.6181\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 304200.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 304200.n do not have complex multiplication.

Modular form 304200.2.a.n

sage: E.q_eigenform(10)
 
\(q - 4 q^{7} + 4 q^{11} + 3 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display