Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 101150.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 101150.d1 | 101150bf1 | \([1, 0, 1, 2781474, -664424752]\) | \(545855338775/359661568\) | \(-1568069912011079680000\) | \([]\) | \(8372160\) | \(2.7558\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 101150.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 101150.d do not have complex multiplication.Modular form 101150.2.a.d
sage: E.q_eigenform(10)