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SageMath
E = EllipticCurve("cn1")
E.isogeny_class()
Elliptic curves in class 11200.cn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11200.cn1 | 11200cj1 | \([0, 1, 0, -1883, 30863]\) | \(-738763264/875\) | \(-875000000\) | \([]\) | \(4608\) | \(0.62737\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11200.cn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11200.cn do not have complex multiplication.Modular form 11200.2.a.cn
sage: E.q_eigenform(10)