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SageMath
E = EllipticCurve("dh1")
E.isogeny_class()
Elliptic curves in class 305760.dh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
305760.dh1 | 305760dh1 | \([0, -1, 0, 915, 104805]\) | \(421654016/24024195\) | \(-4821752033280\) | \([]\) | \(758016\) | \(1.1133\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 305760.dh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 305760.dh do not have complex multiplication.Modular form 305760.2.a.dh
sage: E.q_eigenform(10)