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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 1950.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1950.q1 | 1950p1 | \([1, 1, 1, 2, 11]\) | \(34295/1872\) | \(-46800\) | \([]\) | \(192\) | \(-0.42418\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1950.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1950.q do not have complex multiplication.Modular form 1950.2.a.q
sage: E.q_eigenform(10)