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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 133200.w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 133200.w1 | 133200eh1 | \([0, 0, 0, 38880, 192240]\) | \(3224862720/1874161\) | \(-3777444962611200\) | \([]\) | \(663552\) | \(1.6784\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 133200.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 133200.w do not have complex multiplication.Modular form 133200.2.a.w
sage: E.q_eigenform(10)