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SageMath
E = EllipticCurve("jp1")
E.isogeny_class()
Elliptic curves in class 479808jp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
479808.jp1 | 479808jp1 | \([0, 0, 0, 20580, -1190896]\) | \(14000/17\) | \(-1170525041344512\) | \([]\) | \(1935360\) | \(1.5775\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 479808jp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 479808jp do not have complex multiplication.Modular form 479808.2.a.jp
sage: E.q_eigenform(10)