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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 46410.v
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 46410.v1 | 46410u1 | \([1, 0, 1, -21270913919, -1195354834988974]\) | \(-1064344357809524755498796847123988969/1331361849595148905218048000000\) | \(-1331361849595148905218048000000\) | \([]\) | \(138600000\) | \(4.6893\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46410.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 46410.v do not have complex multiplication.Modular form 46410.2.a.v
sage: E.q_eigenform(10)