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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 150075m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
150075.i1 | 150075m1 | \([0, 0, 1, -7500, -271094]\) | \(-6553600/667\) | \(-4748466796875\) | \([]\) | \(221760\) | \(1.1722\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 150075m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 150075m do not have complex multiplication.Modular form 150075.2.a.m
sage: E.q_eigenform(10)