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SageMath
E = EllipticCurve("dh1")
E.isogeny_class()
Elliptic curves in class 257600.dh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
257600.dh1 | 257600dh1 | \([0, 0, 0, 58900, -1319600]\) | \(137927116575/84410368\) | \(-13829794693120000\) | \([]\) | \(1400832\) | \(1.7863\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 257600.dh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 257600.dh do not have complex multiplication.Modular form 257600.2.a.dh
sage: E.q_eigenform(10)