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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 40310.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40310.n1 | 40310k1 | \([1, 1, 0, -4167, 101819]\) | \(-8004921008668921/169503550\) | \(-169503550\) | \([]\) | \(39744\) | \(0.69668\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40310.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 40310.n do not have complex multiplication.Modular form 40310.2.a.n
sage: E.q_eigenform(10)