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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 146523.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
146523.m1 | 146523k1 | \([1, 0, 0, -3795166502, 89866756271421]\) | \(81721188208261/129140163\) | \(9553068063784722954813292359\) | \([]\) | \(220731264\) | \(4.2670\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 146523.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 146523.m do not have complex multiplication.Modular form 146523.2.a.m
sage: E.q_eigenform(10)