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SageMath
E = EllipticCurve("ca1")
E.isogeny_class()
Elliptic curves in class 147294ca
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
147294.j1 | 147294ca1 | \([1, -1, 0, 2637, -338675]\) | \(482447/12024\) | \(-50531340106296\) | \([]\) | \(483840\) | \(1.3096\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 147294ca1 has rank \(1\).
Complex multiplication
The elliptic curves in class 147294ca do not have complex multiplication.Modular form 147294.2.a.ca
sage: E.q_eigenform(10)