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SageMath
E = EllipticCurve("hd1")
E.isogeny_class()
Elliptic curves in class 216384hd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
216384.m1 | 216384hd1 | \([0, -1, 0, -2172, 80046]\) | \(-3072832/5589\) | \(-2062046258496\) | \([]\) | \(430080\) | \(1.0530\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 216384hd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 216384hd do not have complex multiplication.Modular form 216384.2.a.hd
sage: E.q_eigenform(10)