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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 3136p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3136.j1 | 3136p1 | \([0, -1, 0, -65, -167]\) | \(12544\) | \(2458624\) | \([]\) | \(384\) | \(-0.030300\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3136p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3136p do not have complex multiplication.Modular form 3136.2.a.p
sage: E.q_eigenform(10)