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SageMath
E = EllipticCurve("mq1")
E.isogeny_class()
Elliptic curves in class 458640mq
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 458640.mq1 | 458640mq1 | \([0, 0, 0, 588, -5684]\) | \(1354752/1625\) | \(-26968032000\) | \([]\) | \(262656\) | \(0.68770\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 458640mq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 458640mq do not have complex multiplication.Modular form 458640.2.a.mq
sage: E.q_eigenform(10)