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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 83391.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
83391.b1 | 83391k1 | \([0, -1, 1, -1716, -15730]\) | \(81520685056/30438639\) | \(208778624901\) | \([]\) | \(134400\) | \(0.87186\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 83391.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 83391.b do not have complex multiplication.Modular form 83391.2.a.b
sage: E.q_eigenform(10)