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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 1950.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1950.p1 | 1950r1 | \([1, 1, 1, -20638, 1133531]\) | \(-2488672890625/2426112\) | \(-947700000000\) | \([]\) | \(5760\) | \(1.2188\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1950.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1950.p do not have complex multiplication.Modular form 1950.2.a.p
sage: E.q_eigenform(10)