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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 66300.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 66300.d1 | 66300d1 | \([0, -1, 0, -8958, -380463]\) | \(-508844800/112047\) | \(-17507343750000\) | \([]\) | \(155520\) | \(1.2617\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66300.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 66300.d do not have complex multiplication.Modular form 66300.2.a.d
sage: E.q_eigenform(10)