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SageMath
E = EllipticCurve("ed1")
E.isogeny_class()
Elliptic curves in class 88200.ed
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88200.ed1 | 88200hw1 | \([0, 0, 0, -812138250, -9100538811875]\) | \(-46028377077760/1162261467\) | \(-1495862880795469851918750000\) | \([]\) | \(30643200\) | \(3.9985\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88200.ed1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88200.ed do not have complex multiplication.Modular form 88200.2.a.ed
sage: E.q_eigenform(10)