Properties

Label 435120.m
Number of curves $1$
Conductor $435120$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 435120.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
435120.m1 435120m1 \([0, -1, 0, -16, -209]\) \(-614656/24975\) \(-19580400\) \([]\) \(115200\) \(0.079300\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 435120.m1 has rank \(1\).

Complex multiplication

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

Modular form 435120.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} - 2 q^{11} + q^{15} - 5 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display