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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 63426.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 63426.d1 | 63426c1 | \([1, 1, 0, -115861543, -480107158859]\) | \(-201673154403670009/20120120064\) | \(-17160270074822439316224\) | \([]\) | \(10713600\) | \(3.3008\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63426.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 63426.d do not have complex multiplication.Modular form 63426.2.a.d
sage: E.q_eigenform(10)