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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 16830.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16830.m1 | 16830b1 | \([1, -1, 0, 17580, 2453200]\) | \(22253722294800933/109514680000000\) | \(-2956896360000000\) | \([]\) | \(100800\) | \(1.6508\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16830.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 16830.m do not have complex multiplication.Modular form 16830.2.a.m
sage: E.q_eigenform(10)