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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 804.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
804.b1 | 804b1 | \([0, -1, 0, -1373, -19191]\) | \(-1118952448000/3956283\) | \(-1012808448\) | \([]\) | \(360\) | \(0.59025\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 804.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 804.b do not have complex multiplication.Modular form 804.2.a.b
sage: E.q_eigenform(10)