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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 28880u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28880.k1 | 28880u1 | \([0, -1, 0, 8544, 572800]\) | \(357911/950\) | \(-183064932147200\) | \([]\) | \(69120\) | \(1.4204\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28880u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28880u do not have complex multiplication.Modular form 28880.2.a.u
sage: E.q_eigenform(10)