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SageMath
E = EllipticCurve("hq1")
E.isogeny_class()
Elliptic curves in class 242550hq
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 242550.hq1 | 242550hq1 | \([1, -1, 0, -1095642, 457890516]\) | \(-260607143968297/11270993184\) | \(-6290799180088500000\) | \([]\) | \(7257600\) | \(2.3728\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 242550hq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 242550hq do not have complex multiplication.Modular form 242550.2.a.hq
sage: E.q_eigenform(10)