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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 479808.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
479808.p1 | 479808p1 | \([0, 0, 0, -179634, -29320326]\) | \(-3153242386944/2000033\) | \(-406601652816576\) | \([]\) | \(2949120\) | \(1.7444\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 479808.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 479808.p do not have complex multiplication.Modular form 479808.2.a.p
sage: E.q_eigenform(10)