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SageMath
E = EllipticCurve("hi1")
E.isogeny_class()
Elliptic curves in class 62400.hi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
62400.hi1 | 62400cm1 | \([0, 1, 0, -10533, 634563]\) | \(-504871936/394875\) | \(-101088000000000\) | \([]\) | \(184320\) | \(1.3859\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 62400.hi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 62400.hi do not have complex multiplication.Modular form 62400.2.a.hi
sage: E.q_eigenform(10)