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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 11858.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11858.p1 | 11858a1 | \([1, 0, 1, -7352084, 7668161554]\) | \(3233229419/2048\) | \(27838667175986157568\) | \([]\) | \(731808\) | \(2.6723\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11858.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11858.p do not have complex multiplication.Modular form 11858.2.a.p
sage: E.q_eigenform(10)