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SageMath
E = EllipticCurve("ca1")
E.isogeny_class()
Elliptic curves in class 43120ca
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43120.a1 | 43120ca1 | \([0, 0, 0, -391363, 113716162]\) | \(-5729578281/1512500\) | \(-1749990662604800000\) | \([]\) | \(1532160\) | \(2.2172\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43120ca1 has rank \(0\).
Complex multiplication
The elliptic curves in class 43120ca do not have complex multiplication.Modular form 43120.2.a.ca
sage: E.q_eigenform(10)