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SageMath
E = EllipticCurve("ca1")
E.isogeny_class()
Elliptic curves in class 87120.ca
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 87120.ca1 | 87120z1 | \([0, 0, 0, -72963, 8121762]\) | \(-16241202/1375\) | \(-3636773800704000\) | \([]\) | \(483840\) | \(1.7308\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 87120.ca1 has rank \(1\).
Complex multiplication
The elliptic curves in class 87120.ca do not have complex multiplication.Modular form 87120.2.a.ca
sage: E.q_eigenform(10)