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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 11760bt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11760.bb1 | 11760bt1 | \([0, -1, 0, -28240, 1857472]\) | \(-105484561/1440\) | \(-34002179850240\) | \([]\) | \(40320\) | \(1.4033\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11760bt1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11760bt do not have complex multiplication.Modular form 11760.2.a.bt
sage: E.q_eigenform(10)