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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 43120.w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 43120.w1 | 43120bs1 | \([0, -1, 0, -9643216, 10456980416]\) | \(85713473128801/8800000000\) | \(10181763855155200000000\) | \([]\) | \(2128896\) | \(2.9584\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43120.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 43120.w do not have complex multiplication.Modular form 43120.2.a.w
sage: E.q_eigenform(10)