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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 16650m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16650.h1 | 16650m1 | \([1, -1, 0, 45558, 1930716]\) | \(918046641959/674325000\) | \(-7680983203125000\) | \([]\) | \(138240\) | \(1.7364\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16650m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 16650m do not have complex multiplication.Modular form 16650.2.a.m
sage: E.q_eigenform(10)