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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 54450.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54450.u1 | 54450dp1 | \([1, -1, 0, -36563742, -85088819084]\) | \(1296633753003985/17006112\) | \(70902792243112500000\) | \([]\) | \(4838400\) | \(2.9532\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54450.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 54450.u do not have complex multiplication.Modular form 54450.2.a.u
sage: E.q_eigenform(10)