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SageMath
E = EllipticCurve("dt1")
E.isogeny_class()
Elliptic curves in class 28224.dt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28224.dt1 | 28224bj1 | \([0, 0, 0, -210, 3598]\) | \(-448000/2187\) | \(-4999796928\) | \([]\) | \(10752\) | \(0.54555\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28224.dt1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28224.dt do not have complex multiplication.Modular form 28224.2.a.dt
sage: E.q_eigenform(10)