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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 250173.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
250173.u1 | 250173u1 | \([0, 0, 1, -17328, 649890]\) | \(16777216/4389\) | \(150527106975861\) | \([]\) | \(599040\) | \(1.4293\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 250173.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 250173.u do not have complex multiplication.Modular form 250173.2.a.u
sage: E.q_eigenform(10)