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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 31200.bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
31200.bn1 | 31200by1 | \([0, 1, 0, 116867, -3231637]\) | \(2758136205824/1668346875\) | \(-106774200000000000\) | \([]\) | \(230400\) | \(1.9567\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 31200.bn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 31200.bn do not have complex multiplication.Modular form 31200.2.a.bn
sage: E.q_eigenform(10)