Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 43890.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43890.d1 | 43890b1 | \([1, 1, 0, -47218, 3945988]\) | \(-11642891408713488169/56053929162000\) | \(-56053929162000\) | \([]\) | \(207360\) | \(1.4871\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43890.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 43890.d do not have complex multiplication.Modular form 43890.2.a.d
sage: E.q_eigenform(10)