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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 10080.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10080.t1 | 10080q1 | \([0, 0, 0, 72, 432]\) | \(13824/35\) | \(-104509440\) | \([]\) | \(2688\) | \(0.22252\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10080.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10080.t do not have complex multiplication.Modular form 10080.2.a.t
sage: E.q_eigenform(10)