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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 55016.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 55016.d1 | 55016c1 | \([0, 1, 0, -8640, 320672]\) | \(-235298/13\) | \(-3941307508736\) | \([]\) | \(98560\) | \(1.1747\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 55016.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 55016.d do not have complex multiplication.Modular form 55016.2.a.d
sage: E.q_eigenform(10)