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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 184525c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
184525.c1 | 184525c1 | \([1, 1, 1, -6113, -196844]\) | \(-912673/61\) | \(-1688519078125\) | \([]\) | \(257040\) | \(1.0982\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 184525c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 184525c do not have complex multiplication.Modular form 184525.2.a.c
sage: E.q_eigenform(10)