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SageMath
E = EllipticCurve("cw1")
E.isogeny_class()
Elliptic curves in class 46200.cw
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 46200.cw1 | 46200cw1 | \([0, 1, 0, -920573633, -10752143402637]\) | \(-21569462179645467300176896/2687170946044921875\) | \(-10748683784179687500000000\) | \([]\) | \(20966400\) | \(3.8259\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46200.cw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 46200.cw do not have complex multiplication.Modular form 46200.2.a.cw
sage: E.q_eigenform(10)