Label 229320.v
Number of curves $1$
Conductor $229320$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("v1")
sage: E.isogeny_class()

Elliptic curves in class 229320.v

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
229320.v1 229320bi1 \([0, 0, 0, -60438, -35231987]\) \(-42717947152384/913520014875\) \(-522109575221598000\) \([]\) \(3110400\) \(2.0806\) \(\Gamma_0(N)\)-optimal


sage: E.rank()

The elliptic curve 229320.v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 229320.v do not have complex multiplication.

Modular form 229320.2.a.v

sage: E.q_eigenform(10)
\(q - q^{5} - 3q^{11} + q^{13} - 5q^{17} - 8q^{19} + O(q^{20})\)  Toggle raw display