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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 1950.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1950.m1 | 1950k1 | \([1, 0, 1, 49, 1298]\) | \(34295/1872\) | \(-731250000\) | \([]\) | \(960\) | \(0.38054\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1950.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1950.m do not have complex multiplication.Modular form 1950.2.a.m
sage: E.q_eigenform(10)