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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 338100m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338100.m1 | 338100m1 | \([0, -1, 0, -2035133, -1260157863]\) | \(-5775106048/912525\) | \(-147294700910700000000\) | \([]\) | \(12773376\) | \(2.5983\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338100m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 338100m do not have complex multiplication.Modular form 338100.2.a.m
sage: E.q_eigenform(10)