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SageMath
E = EllipticCurve("cw1")
E.isogeny_class()
Elliptic curves in class 270400.cw
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 270400.cw1 | 270400cw1 | \([0, -1, 0, -352083, 79962037]\) | \(1600000/13\) | \(39217823125000000\) | \([]\) | \(2903040\) | \(2.0109\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 270400.cw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 270400.cw do not have complex multiplication.Modular form 270400.2.a.cw
sage: E.q_eigenform(10)