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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 1950.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1950.x1 | 1950z1 | \([1, 0, 0, 2, 2]\) | \(34295/78\) | \(-1950\) | \([]\) | \(168\) | \(-0.68462\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1950.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1950.x do not have complex multiplication.Modular form 1950.2.a.x
sage: E.q_eigenform(10)