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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 1110.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1110.m1 | 1110m1 | \([1, 0, 0, -281, 2361]\) | \(-2454365649169/1035763200\) | \(-1035763200\) | \([]\) | \(1008\) | \(0.43771\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1110.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1110.m do not have complex multiplication.Modular form 1110.2.a.m
sage: E.q_eigenform(10)