Show commands:
SageMath
E = EllipticCurve("cw1")
E.isogeny_class()
Elliptic curves in class 98736cw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
98736.a1 | 98736cw1 | \([0, -1, 0, -18190, 84691]\) | \(194081536/111537\) | \(382543144161552\) | \([]\) | \(608256\) | \(1.4878\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 98736cw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 98736cw do not have complex multiplication.Modular form 98736.2.a.cw
sage: E.q_eigenform(10)