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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 236992.c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 236992.c1 | 236992c1 | \([0, 0, 0, 51683300, -3622427472536]\) | \(100718081964000000/37453512751940327\) | \(-5677531193760074529173199872\) | \([]\) | \(206807040\) | \(4.0046\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 236992.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 236992.c do not have complex multiplication.Modular form 236992.2.a.c
sage: E.q_eigenform(10)