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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 450800.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450800.m1 | 450800m1 | \([0, 1, 0, 25730717, 16106492688]\) | \(26678349092864/17024127235\) | \(-1202223644928576628750000\) | \([]\) | \(57576960\) | \(3.3095\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450800.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 450800.m do not have complex multiplication.Modular form 450800.2.a.m
sage: E.q_eigenform(10)