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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 331200.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
331200.m1 | 331200m1 | \([0, 0, 0, 1050, -4750]\) | \(175616/115\) | \(-83835000000\) | \([]\) | \(331776\) | \(0.78485\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331200.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 331200.m do not have complex multiplication.Modular form 331200.2.a.m
sage: E.q_eigenform(10)