Show commands:
SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 229320.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
229320.w1 | 229320cm1 | \([0, 0, 0, 28812, -1949612]\) | \(1354752/1625\) | \(-3172761996768000\) | \([]\) | \(919296\) | \(1.6607\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 229320.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 229320.w do not have complex multiplication.Modular form 229320.2.a.w
sage: E.q_eigenform(10)