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SageMath
E = EllipticCurve("ca1")
E.isogeny_class()
Elliptic curves in class 374790.ca
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 374790.ca1 | 374790ca1 | \([1, 0, 1, -6200873, -6268080724]\) | \(-997302429271/64696320\) | \(-1710546255985862430720\) | \([]\) | \(31426560\) | \(2.8271\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 374790.ca1 has rank \(0\).
Complex multiplication
The elliptic curves in class 374790.ca do not have complex multiplication.Modular form 374790.2.a.ca
sage: E.q_eigenform(10)