Show commands:
SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 4900w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4900.b1 | 4900w1 | \([0, 0, 0, -49000, -4287500]\) | \(-221184/7\) | \(-411771500000000\) | \([]\) | \(34560\) | \(1.5805\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4900w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4900w do not have complex multiplication.Modular form 4900.2.a.w
sage: E.q_eigenform(10)