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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 47610u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47610.q1 | 47610u1 | \([1, -1, 0, 603720, 280190200]\) | \(63102533673332111/124556484375000\) | \(-48034087190859375000\) | \([]\) | \(2396160\) | \(2.4610\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47610u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 47610u do not have complex multiplication.Modular form 47610.2.a.u
sage: E.q_eigenform(10)