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SageMath
E = EllipticCurve("hm1")
E.isogeny_class()
Elliptic curves in class 62400.hm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
62400.hm1 | 62400hj1 | \([0, 1, 0, -208, 507338]\) | \(-1600/177957\) | \(-111223125000000\) | \([]\) | \(230400\) | \(1.3741\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 62400.hm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 62400.hm do not have complex multiplication.Modular form 62400.2.a.hm
sage: E.q_eigenform(10)