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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 444675.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
444675.m1 | 444675m1 | \([0, -1, 1, 4492, -23332]\) | \(45056/27\) | \(-6005613796875\) | \([]\) | \(1088640\) | \(1.1413\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 444675.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 444675.m do not have complex multiplication.Modular form 444675.2.a.m
sage: E.q_eigenform(10)