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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 2850.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2850.u1 | 2850t1 | \([1, 1, 1, 987, -56469]\) | \(272199695/3735552\) | \(-1459200000000\) | \([]\) | \(3840\) | \(1.0148\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2850.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2850.u do not have complex multiplication.Modular form 2850.2.a.u
sage: E.q_eigenform(10)