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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 227850.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
227850.u1 | 227850ir1 | \([1, 1, 0, 486125, -29121875]\) | \(16593961519126271/10088193600000\) | \(-7723773225000000000\) | \([]\) | \(5806080\) | \(2.3134\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 227850.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 227850.u do not have complex multiplication.Modular form 227850.2.a.u
sage: E.q_eigenform(10)