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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 71478bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
71478.c1 | 71478bh1 | \([1, -1, 0, -21186, -1727244]\) | \(-30664297/20064\) | \(-688123917603936\) | \([]\) | \(345600\) | \(1.5481\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71478bh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 71478bh do not have complex multiplication.Modular form 71478.2.a.bh
sage: E.q_eigenform(10)