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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 232848bt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
232848.bt1 | 232848bt1 | \([0, 0, 0, -7056, -235984]\) | \(-2985984/121\) | \(-1574335623168\) | \([]\) | \(362880\) | \(1.1082\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 232848bt1 has rank \(1\).
Complex multiplication
The elliptic curves in class 232848bt do not have complex multiplication.Modular form 232848.2.a.bt
sage: E.q_eigenform(10)