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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 52272bt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
52272.cq1 | 52272bt1 | \([0, 0, 0, -17424, -915728]\) | \(-2985984/121\) | \(-23706377367552\) | \([]\) | \(115200\) | \(1.3342\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 52272bt1 has rank \(1\).
Complex multiplication
The elliptic curves in class 52272bt do not have complex multiplication.Modular form 52272.2.a.bt
sage: E.q_eigenform(10)