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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 1850b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1850.b1 | 1850b1 | \([1, 0, 1, -1, -12]\) | \(-625/2368\) | \(-59200\) | \([]\) | \(216\) | \(-0.40534\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1850b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1850b do not have complex multiplication.Modular form 1850.2.a.b
sage: E.q_eigenform(10)