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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 47190.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47190.c1 | 47190a1 | \([1, 1, 0, 8347, -3444393]\) | \(27270901/2193750\) | \(-5172747747131250\) | \([]\) | \(348480\) | \(1.6947\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47190.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 47190.c do not have complex multiplication.Modular form 47190.2.a.c
sage: E.q_eigenform(10)