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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 3850.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3850.c1 | 3850g1 | \([1, -1, 0, 4633, 220541]\) | \(28151260695/70647808\) | \(-27596800000000\) | \([]\) | \(8160\) | \(1.2629\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3850.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3850.c do not have complex multiplication.Modular form 3850.2.a.c
sage: E.q_eigenform(10)