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SageMath
E = EllipticCurve("hj1")
E.isogeny_class()
Elliptic curves in class 162240hj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162240.dv1 | 162240hj1 | \([0, -1, 0, -71205, 11238525]\) | \(-504871936/394875\) | \(-31227677964288000\) | \([]\) | \(1290240\) | \(1.8636\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162240hj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 162240hj do not have complex multiplication.Modular form 162240.2.a.hj
sage: E.q_eigenform(10)