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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 71148m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
71148.d1 | 71148m1 | \([0, -1, 0, 152178, -100301991]\) | \(256/3\) | \(-4567281333560228976\) | \([]\) | \(1596672\) | \(2.2614\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71148m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 71148m do not have complex multiplication.Modular form 71148.2.a.m
sage: E.q_eigenform(10)