Properties

Label 216384.u
Number of curves $1$
Conductor $216384$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 216384.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
216384.u1 216384hh1 \([0, -1, 0, -139519, 20703313]\) \(-39889507589632/1397512683\) \(-10522622057105088\) \([]\) \(1419264\) \(1.8471\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 216384.u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 216384.u do not have complex multiplication.

Modular form 216384.2.a.u

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