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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 59150w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 59150.h1 | 59150w1 | \([1, 1, 0, -11811075, 34238402125]\) | \(-96643333791265/212739817472\) | \(-401115025637580800000000\) | \([]\) | \(6128640\) | \(3.2178\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59150w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 59150w do not have complex multiplication.Modular form 59150.2.a.w
sage: E.q_eigenform(10)