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SageMath
E = EllipticCurve("et1")
E.isogeny_class()
Elliptic curves in class 44352et
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 44352.dp1 | 44352et1 | \([0, 0, 0, -59772, 5825608]\) | \(-31636584484096/1331669031\) | \(-994085604965376\) | \([]\) | \(184320\) | \(1.6443\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44352et1 has rank \(1\).
Complex multiplication
The elliptic curves in class 44352et do not have complex multiplication.Modular form 44352.2.a.et
sage: E.q_eigenform(10)