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SageMath
E = EllipticCurve("dt1")
E.isogeny_class()
Elliptic curves in class 352800dt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
352800.dt1 | 352800dt1 | \([0, 0, 0, -147000, 21854000]\) | \(-3136000/27\) | \(-3024568512000000\) | \([]\) | \(1990656\) | \(1.7955\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 352800dt1 has rank \(2\).
Complex multiplication
The elliptic curves in class 352800dt do not have complex multiplication.Modular form 352800.2.a.dt
sage: E.q_eigenform(10)