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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 45504bt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
45504.y1 | 45504bt1 | \([0, 0, 0, -2028, 33104]\) | \(4826809/316\) | \(60388540416\) | \([]\) | \(46080\) | \(0.81846\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 45504bt1 has rank \(0\).
Complex multiplication
The elliptic curves in class 45504bt do not have complex multiplication.Modular form 45504.2.a.bt
sage: E.q_eigenform(10)