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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 443760.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 443760.d1 | 443760d1 | \([0, -1, 0, 1404624, 3287405376]\) | \(6401711/101250\) | \(-4847330419126686720000\) | \([]\) | \(22192128\) | \(2.8416\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 443760.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 443760.d do not have complex multiplication.Modular form 443760.2.a.d
sage: E.q_eigenform(10)