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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 40080.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40080.t1 | 40080g1 | \([0, -1, 0, -20, 27]\) | \(58107136/22545\) | \(360720\) | \([]\) | \(4608\) | \(-0.23481\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40080.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 40080.t do not have complex multiplication.Modular form 40080.2.a.t
sage: E.q_eigenform(10)