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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 320892p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
320892.p1 | 320892p1 | \([0, 1, 0, 77642, -15513643]\) | \(15092000000/39149487\) | \(-134272643600704752\) | \([]\) | \(3484800\) | \(1.9703\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 320892p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 320892p do not have complex multiplication.Modular form 320892.2.a.p
sage: E.q_eigenform(10)