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SageMath
E = EllipticCurve("hk1")
E.isogeny_class()
Elliptic curves in class 292032hk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
292032.hk1 | 292032hk1 | \([0, 0, 0, -1014, 13182]\) | \(-13824\) | \(-8340725952\) | \([]\) | \(215424\) | \(0.65330\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 292032hk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 292032hk do not have complex multiplication.Modular form 292032.2.a.hk
sage: E.q_eigenform(10)