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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 102550c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 102550.f1 | 102550c1 | \([1, 1, 0, -220395, 79825165]\) | \(-47357851934411832865/82956466370366288\) | \(-2073911659259157200\) | \([]\) | \(1286400\) | \(2.2051\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102550c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 102550c do not have complex multiplication.Modular form 102550.2.a.c
sage: E.q_eigenform(10)