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SageMath
E = EllipticCurve("hh1")
E.isogeny_class()
Elliptic curves in class 388080.hh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388080.hh1 | 388080hh1 | \([0, 0, 0, -601923, -179744222]\) | \(329680277223458/4026275\) | \(294548621875200\) | \([]\) | \(3110400\) | \(1.9246\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388080.hh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 388080.hh do not have complex multiplication.Modular form 388080.2.a.hh
sage: E.q_eigenform(10)