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SageMath
E = EllipticCurve("ee1")
E.isogeny_class()
Elliptic curves in class 28224ee
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28224.n1 | 28224ee1 | \([0, 0, 0, 756, -3024]\) | \(1512\) | \(-31603654656\) | \([]\) | \(23040\) | \(0.70350\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28224ee1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28224ee do not have complex multiplication.Modular form 28224.2.a.ee
sage: E.q_eigenform(10)