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SageMath
E = EllipticCurve("hj1")
E.isogeny_class()
Elliptic curves in class 426888.hj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
426888.hj1 | 426888hj1 | \([0, 0, 0, 835989, 701649718]\) | \(50250332/194481\) | \(-250071180699485021184\) | \([]\) | \(11796480\) | \(2.5968\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888.hj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 426888.hj do not have complex multiplication.Modular form 426888.2.a.hj
sage: E.q_eigenform(10)