Properties

Label 435120g
Number of curves $1$
Conductor $435120$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 435120g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
435120.g1 435120g1 \([0, -1, 0, 1384, 24816]\) \(1459694999/2220000\) \(-445562880000\) \([]\) \(437760\) \(0.92056\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 435120g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 435120g do not have complex multiplication.

Modular form 435120.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} - 4 q^{11} - 5 q^{13} + q^{15} + q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display