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SageMath
E = EllipticCurve("pp1")
E.isogeny_class()
Elliptic curves in class 369600pp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
369600.pp1 | 369600pp1 | \([0, 1, 0, -199493, 34229283]\) | \(2143625552081920/693\) | \(283852800\) | \([]\) | \(1118208\) | \(1.4202\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 369600pp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 369600pp do not have complex multiplication.Modular form 369600.2.a.pp
sage: E.q_eigenform(10)