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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 10830r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10830.u1 | 10830r1 | \([1, 1, 1, 4144, -212911]\) | \(463391/1440\) | \(-24456330779040\) | \([]\) | \(27360\) | \(1.2523\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10830r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 10830r do not have complex multiplication.Modular form 10830.2.a.r
sage: E.q_eigenform(10)