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SageMath
E = EllipticCurve("cf1")
E.isogeny_class()
Elliptic curves in class 164730.cf
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 164730.cf1 | 164730ba1 | \([1, 1, 1, -1018731, 2922568569]\) | \(-16761424825009/519412500000\) | \(-3623295611823412500000\) | \([]\) | \(10967040\) | \(2.8172\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 164730.cf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 164730.cf do not have complex multiplication.Modular form 164730.2.a.cf
sage: E.q_eigenform(10)