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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 38646p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38646.bh1 | 38646p1 | \([1, -1, 1, 52, -431]\) | \(804357/4294\) | \(-84518802\) | \([]\) | \(15552\) | \(0.20315\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38646p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 38646p do not have complex multiplication.Modular form 38646.2.a.p
sage: E.q_eigenform(10)