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SageMath
E = EllipticCurve("cp1")
E.isogeny_class()
Elliptic curves in class 110400cp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
110400.ba1 | 110400cp1 | \([0, -1, 0, -138433, 12639937]\) | \(1790712239425/618098688\) | \(101269289041920000\) | \([]\) | \(884736\) | \(1.9648\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 110400cp1 has rank \(1\).
Complex multiplication
The elliptic curves in class 110400cp do not have complex multiplication.Modular form 110400.2.a.cp
sage: E.q_eigenform(10)