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SageMath
E = EllipticCurve("cp1")
E.isogeny_class()
Elliptic curves in class 450800.cp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450800.cp1 | 450800cp1 | \([0, -1, 0, -18875208, 76007548912]\) | \(-158034076225/438790688\) | \(-2064931426100480000000000\) | \([]\) | \(55296000\) | \(3.3528\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450800.cp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 450800.cp do not have complex multiplication.Modular form 450800.2.a.cp
sage: E.q_eigenform(10)