Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 5950.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 5950.d1 | 5950g1 | \([1, 1, 0, -59220, -45844400]\) | \(-183751277422644413/7149351929380864\) | \(-893668991172608000\) | \([]\) | \(94080\) | \(2.1247\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5950.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5950.d do not have complex multiplication.Modular form 5950.2.a.d
sage: E.q_eigenform(10)