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SageMath
E = EllipticCurve("dh1")
E.isogeny_class()
Elliptic curves in class 14400dh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14400.dd1 | 14400dh1 | \([0, 0, 0, -6000, -180000]\) | \(-138240\) | \(-172800000000\) | \([]\) | \(15360\) | \(0.98834\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14400dh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14400dh do not have complex multiplication.Modular form 14400.2.a.dh
sage: E.q_eigenform(10)