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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 224400.q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 224400.q1 | 224400ep1 | \([0, -1, 0, -1491733, 701767837]\) | \(-5736108018368512/11042163\) | \(-706698432000000\) | \([]\) | \(2949120\) | \(2.1032\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 224400.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 224400.q do not have complex multiplication.Modular form 224400.2.a.q
sage: E.q_eigenform(10)