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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 19950.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19950.n1 | 19950l1 | \([1, 1, 0, 2100, -3000]\) | \(65499561791/38319960\) | \(-598749375000\) | \([]\) | \(28800\) | \(0.94925\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19950.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 19950.n do not have complex multiplication.Modular form 19950.2.a.n
sage: E.q_eigenform(10)