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SageMath
E = EllipticCurve("du1")
E.isogeny_class()
Elliptic curves in class 28224.du
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28224.du1 | 28224fd1 | \([0, 0, 0, -72030, -7495922]\) | \(-3136000/27\) | \(-355837460868288\) | \([]\) | \(96768\) | \(1.6171\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28224.du1 has rank \(0\).
Complex multiplication
The elliptic curves in class 28224.du do not have complex multiplication.Modular form 28224.2.a.du
sage: E.q_eigenform(10)