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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 17136.w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 17136.w1 | 17136bj1 | \([0, 0, 0, 513312, 128049136]\) | \(5009339741732864/5271114033171\) | \(-15739462165224075264\) | \([]\) | \(313344\) | \(2.3703\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17136.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 17136.w do not have complex multiplication.Modular form 17136.2.a.w
sage: E.q_eigenform(10)