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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 7200.bt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7200.bt1 | 7200bm1 | \([0, 0, 0, -6600, 206480]\) | \(-425920000/243\) | \(-18139852800\) | \([]\) | \(7680\) | \(0.91478\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7200.bt1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7200.bt do not have complex multiplication.Modular form 7200.2.a.bt
sage: E.q_eigenform(10)