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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 33150c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 33150.d1 | 33150c1 | \([1, 1, 0, -66575, 2377125]\) | \(3341699447425/1678015872\) | \(16386873750000000\) | \([]\) | \(282240\) | \(1.8040\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33150c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 33150c do not have complex multiplication.Modular form 33150.2.a.c
sage: E.q_eigenform(10)