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SageMath
E = EllipticCurve("qd1")
E.isogeny_class()
Elliptic curves in class 273600qd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 273600.qd1 | 273600qd1 | \([0, 0, 0, -686700, -233874000]\) | \(-11993263569/972800\) | \(-2904765235200000000\) | \([]\) | \(5677056\) | \(2.2890\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 273600qd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 273600qd do not have complex multiplication.Modular form 273600.2.a.qd
sage: E.q_eigenform(10)