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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 453152b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
453152.b1 | 453152b1 | \([0, 0, 0, -516460, -86018912]\) | \(109392552000/40353607\) | \(5619897452025966592\) | \([]\) | \(13934592\) | \(2.2979\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 453152b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 453152b do not have complex multiplication.Modular form 453152.2.a.b
sage: E.q_eigenform(10)