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SageMath
E = EllipticCurve("db1")
E.isogeny_class()
Elliptic curves in class 19600.db
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19600.db1 | 19600m1 | \([0, 1, 0, -1633, 196363]\) | \(-1024/35\) | \(-16470860000000\) | \([]\) | \(36864\) | \(1.2163\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19600.db1 has rank \(0\).
Complex multiplication
The elliptic curves in class 19600.db do not have complex multiplication.Modular form 19600.2.a.db
sage: E.q_eigenform(10)