Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 170.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
170.d1 | 170e1 | \([1, -1, 0, -10, -10]\) | \(-116930169/170\) | \(-170\) | \([]\) | \(20\) | \(-0.66997\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 170.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 170.d do not have complex multiplication.Modular form 170.2.a.d
sage: E.q_eigenform(10)