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SageMath
E = EllipticCurve("db1")
E.isogeny_class()
Elliptic curves in class 17600db
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17600.a1 | 17600db1 | \([0, 0, 0, -11500, -650000]\) | \(-2628072/1331\) | \(-85184000000000\) | \([]\) | \(99840\) | \(1.3778\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17600db1 has rank \(1\).
Complex multiplication
The elliptic curves in class 17600db do not have complex multiplication.Modular form 17600.2.a.db
sage: E.q_eigenform(10)