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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 14157.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14157.b1 | 14157v1 | \([0, 0, 1, -1289739, 563887134]\) | \(-1518309117952/369603\) | \(-57756982725303147\) | \([]\) | \(295680\) | \(2.2048\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14157.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 14157.b do not have complex multiplication.Modular form 14157.2.a.b
sage: E.q_eigenform(10)