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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 44400v
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 44400.y1 | 44400v1 | \([0, -1, 0, -4128, 52992]\) | \(75988526665/32735232\) | \(3352087756800\) | \([]\) | \(51840\) | \(1.0997\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44400v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 44400v do not have complex multiplication.Modular form 44400.2.a.v
sage: E.q_eigenform(10)