Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 381150a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 381150.a1 | 381150a1 | \([1, -1, 0, 16758, 22668916]\) | \(15104375/6453888\) | \(-222379299450000000\) | \([]\) | \(6854400\) | \(2.0077\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 381150a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 381150a do not have complex multiplication.Modular form 381150.2.a.a
sage: E.q_eigenform(10)