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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 28880.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28880.j1 | 28880v1 | \([0, -1, 0, 2464, -47360]\) | \(1118413511/1280000\) | \(-1892679680000\) | \([]\) | \(38016\) | \(1.0421\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28880.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28880.j do not have complex multiplication.Modular form 28880.2.a.j
sage: E.q_eigenform(10)