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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 43190.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43190.c1 | 43190a1 | \([1, -1, 0, -8650, -307500]\) | \(-71581414466974329/431900000\) | \(-431900000\) | \([]\) | \(41600\) | \(0.84493\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43190.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 43190.c do not have complex multiplication.Modular form 43190.2.a.c
sage: E.q_eigenform(10)