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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 9792bt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9792.h1 | 9792bt1 | \([0, 0, 0, -624, 12256]\) | \(-2249728/4131\) | \(-49340399616\) | \([]\) | \(10240\) | \(0.74188\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9792bt1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9792bt do not have complex multiplication.Modular form 9792.2.a.bt
sage: E.q_eigenform(10)