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SageMath
E = EllipticCurve("dt1")
E.isogeny_class()
Elliptic curves in class 93600.dt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
93600.dt1 | 93600bo1 | \([0, 0, 0, -8805000, -9843550000]\) | \(2588953638400/62748517\) | \(1829746755720000000000\) | \([]\) | \(3628800\) | \(2.8642\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 93600.dt1 has rank \(1\).
Complex multiplication
The elliptic curves in class 93600.dt do not have complex multiplication.Modular form 93600.2.a.dt
sage: E.q_eigenform(10)