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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 47190e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47190.g1 | 47190e1 | \([1, 1, 0, -7383, 385983]\) | \(-3040489341769/2706725970\) | \(-39629174926770\) | \([]\) | \(141120\) | \(1.3063\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47190e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 47190e do not have complex multiplication.Modular form 47190.2.a.e
sage: E.q_eigenform(10)