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SageMath
E = EllipticCurve("cn1")
E.isogeny_class()
Elliptic curves in class 147136cn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
147136.w1 | 147136cn1 | \([0, -1, 0, -4033, 142529]\) | \(-31250/19\) | \(-4411838824448\) | \([]\) | \(179200\) | \(1.1283\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 147136cn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 147136cn do not have complex multiplication.Modular form 147136.2.a.cn
sage: E.q_eigenform(10)