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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 47190t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47190.v1 | 47190t1 | \([1, 0, 1, 166746, -13067144]\) | \(385226073849504061/278469750000000\) | \(-370643237250000000\) | \([]\) | \(665280\) | \(2.0595\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47190t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 47190t do not have complex multiplication.Modular form 47190.2.a.t
sage: E.q_eigenform(10)