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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 133952.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
133952.p1 | 133952bx1 | \([0, 1, 0, -47, 7]\) | \(183250432/102557\) | \(6563648\) | \([]\) | \(24576\) | \(-0.0016862\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 133952.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 133952.p do not have complex multiplication.Modular form 133952.2.a.p
sage: E.q_eigenform(10)