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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 43350.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43350.a1 | 43350m1 | \([1, 1, 0, -101670350, -478531297740]\) | \(-192607474931043120625/52443022624653312\) | \(-31646176929278260486963200\) | \([]\) | \(16692480\) | \(3.6091\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43350.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 43350.a do not have complex multiplication.Modular form 43350.2.a.a
sage: E.q_eigenform(10)