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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 287490.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
287490.p1 | 287490p1 | \([1, 1, 0, -160482422, 5543562953556]\) | \(-130134465938979721/3704400000000000\) | \(-13011628889104952400000000000\) | \([]\) | \(342856800\) | \(4.0751\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 287490.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 287490.p do not have complex multiplication.Modular form 287490.2.a.p
sage: E.q_eigenform(10)