Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 466752.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 466752.d1 | 466752d1 | \([0, -1, 0, -3681800, 2752236246]\) | \(-86243115382993959436864/1175129935679765637\) | \(-75208315883505000768\) | \([]\) | \(21150720\) | \(2.6208\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 466752.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 466752.d do not have complex multiplication.Modular form 466752.2.a.d
sage: E.q_eigenform(10)