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SageMath
E = EllipticCurve("ca1")
E.isogeny_class()
Elliptic curves in class 14400.ca
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 14400.ca1 | 14400cu1 | \([0, 0, 0, -240, -1440]\) | \(-138240\) | \(-11059200\) | \([]\) | \(3072\) | \(0.18362\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14400.ca1 has rank \(0\).
Complex multiplication
The elliptic curves in class 14400.ca do not have complex multiplication.Modular form 14400.2.a.ca
sage: E.q_eigenform(10)