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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 493680v
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 493680.v1 | 493680v1 | \([0, -1, 0, -171376, 27535840]\) | \(-18564170960258/135517455\) | \(-4063459448125440\) | \([]\) | \(3095040\) | \(1.8268\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 493680v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 493680v do not have complex multiplication.Modular form 493680.2.a.v
sage: E.q_eigenform(10)