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SageMath
E = EllipticCurve("bw1")
E.isogeny_class()
Elliptic curves in class 71148bw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
71148.bl1 | 71148bw1 | \([0, 1, 0, -110700, 14139684]\) | \(-8985792737264/2187\) | \(-36514291968\) | \([]\) | \(387072\) | \(1.4039\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71148bw1 has rank \(2\).
Complex multiplication
The elliptic curves in class 71148bw do not have complex multiplication.Modular form 71148.2.a.bw
sage: E.q_eigenform(10)