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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 70805m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70805.r1 | 70805m1 | \([1, 0, 0, -176, 881]\) | \(6084487/25\) | \(2478175\) | \([]\) | \(12672\) | \(0.082445\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70805m1 has rank \(2\).
Complex multiplication
The elliptic curves in class 70805m do not have complex multiplication.Modular form 70805.2.a.m
sage: E.q_eigenform(10)