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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 116242.w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 116242.w1 | 116242u1 | \([1, 0, 0, -22931, 1332887]\) | \(28344726649/42826\) | \(2014786899706\) | \([]\) | \(253440\) | \(1.2611\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116242.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 116242.w do not have complex multiplication.Modular form 116242.2.a.w
sage: E.q_eigenform(10)