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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 12870.bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12870.bn1 | 12870be1 | \([1, -1, 1, 172, -1383]\) | \(20956092093/40842230\) | \(-1102740210\) | \([]\) | \(6720\) | \(0.41963\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12870.bn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 12870.bn do not have complex multiplication.Modular form 12870.2.a.bn
sage: E.q_eigenform(10)