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SageMath
E = EllipticCurve("ca1")
E.isogeny_class()
Elliptic curves in class 277350ca
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 277350.ca1 | 277350ca1 | \([1, 1, 1, -6749813, 6556319531]\) | \(186222121/6000\) | \(1095768776025093750000\) | \([]\) | \(20805120\) | \(2.8112\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 277350ca1 has rank \(0\).
Complex multiplication
The elliptic curves in class 277350ca do not have complex multiplication.Modular form 277350.2.a.ca
sage: E.q_eigenform(10)