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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 1450.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1450.b1 | 1450d1 | \([1, -1, 0, -992, 12416]\) | \(-276531705/3712\) | \(-1450000000\) | \([]\) | \(840\) | \(0.56541\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1450.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1450.b do not have complex multiplication.Modular form 1450.2.a.b
sage: E.q_eigenform(10)