Properties

Label 103428.u
Number of curves $1$
Conductor $103428$
CM no
Rank $1$

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

Elliptic curves in class 103428.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
103428.u1 103428h1 \([0, 0, 0, -8112, 430612]\) \(-65536/51\) \(-45940718543616\) \([]\) \(196992\) \(1.3202\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 103428.u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 103428.u do not have complex multiplication.

Modular form 103428.2.a.u

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