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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 9800m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9800.bp1 | 9800m1 | \([0, 0, 0, -175, 875]\) | \(48384\) | \(12250000\) | \([]\) | \(3360\) | \(0.15036\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9800m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9800m do not have complex multiplication.Modular form 9800.2.a.m
sage: E.q_eigenform(10)