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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 270802.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
270802.t1 | 270802t1 | \([1, 0, 0, -162026, -25117468]\) | \(-19287858777773741/877581376\) | \(-21403332179264\) | \([]\) | \(1666560\) | \(1.6339\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 270802.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 270802.t do not have complex multiplication.Modular form 270802.2.a.t
sage: E.q_eigenform(10)