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SageMath
E = EllipticCurve("dh1")
E.isogeny_class()
Elliptic curves in class 39600.dh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
39600.dh1 | 39600bi1 | \([0, 0, 0, 285, -1150]\) | \(13718/11\) | \(-2052864000\) | \([]\) | \(11520\) | \(0.47476\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39600.dh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 39600.dh do not have complex multiplication.Modular form 39600.2.a.dh
sage: E.q_eigenform(10)