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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 134640bt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
134640.c1 | 134640bt1 | \([0, 0, 0, 717, -9358]\) | \(13651919/20570\) | \(-61421690880\) | \([]\) | \(92160\) | \(0.75546\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 134640bt1 has rank \(1\).
Complex multiplication
The elliptic curves in class 134640bt do not have complex multiplication.Modular form 134640.2.a.bt
sage: E.q_eigenform(10)