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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 46090m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46090.s1 | 46090m1 | \([1, 0, 0, -550, -4118]\) | \(18401834959201/3485556250\) | \(3485556250\) | \([]\) | \(27120\) | \(0.54861\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46090m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 46090m do not have complex multiplication.Modular form 46090.2.a.m
sage: E.q_eigenform(10)