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SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 121968.cc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 121968.cc1 | 121968bg1 | \([0, 0, 0, -1808103, -969235531]\) | \(-31636584484096/1331669031\) | \(-27516926381532288624\) | \([]\) | \(2764800\) | \(2.4967\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121968.cc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 121968.cc do not have complex multiplication.Modular form 121968.2.a.cc
sage: E.q_eigenform(10)