Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 105136.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
105136.d1 | 105136d1 | \([0, -1, 0, -9, -16]\) | \(-5619712/6571\) | \(-105136\) | \([]\) | \(21024\) | \(-0.34236\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 105136.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 105136.d do not have complex multiplication.Modular form 105136.2.a.d
sage: E.q_eigenform(10)