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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 445280.q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 445280.q1 | 445280q1 | \([0, 0, 0, -884147, 319991034]\) | \(-84269627303688/669185\) | \(-606977048465920\) | \([]\) | \(4608000\) | \(2.0090\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 445280.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 445280.q do not have complex multiplication.Modular form 445280.2.a.q
sage: E.q_eigenform(10)