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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 333795c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 333795.c1 | 333795c1 | \([0, -1, 1, -36510, 2706086]\) | \(-222985990144/841995\) | \(-20323712410155\) | \([]\) | \(1736448\) | \(1.4130\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 333795c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 333795c do not have complex multiplication.Modular form 333795.2.a.c
sage: E.q_eigenform(10)