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SageMath
E = EllipticCurve("dq1")
E.isogeny_class()
Elliptic curves in class 444675dq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
444675.dq1 | 444675dq1 | \([0, -1, 1, -19466883, 106864272668]\) | \(-250523582464/1369738755\) | \(-4460690803394432018671875\) | \([]\) | \(55296000\) | \(3.4138\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 444675dq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 444675dq do not have complex multiplication.Modular form 444675.2.a.dq
sage: E.q_eigenform(10)