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SageMath
E = EllipticCurve("dt1")
E.isogeny_class()
Elliptic curves in class 190575.dt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190575.dt1 | 190575de1 | \([1, -1, 0, -7992, -283959]\) | \(-148955/7\) | \(-2653161328125\) | \([]\) | \(345600\) | \(1.1469\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190575.dt1 has rank \(0\).
Complex multiplication
The elliptic curves in class 190575.dt do not have complex multiplication.Modular form 190575.2.a.dt
sage: E.q_eigenform(10)