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SageMath
E = EllipticCurve("cw1")
E.isogeny_class()
Elliptic curves in class 138600cw
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 138600.dp1 | 138600cw1 | \([0, 0, 0, -9174675, -10857137650]\) | \(-91528907990864450/1604769890031\) | \(-1497442879785726720000\) | \([]\) | \(6386688\) | \(2.8606\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 138600cw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 138600cw do not have complex multiplication.Modular form 138600.2.a.cw
sage: E.q_eigenform(10)