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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 64400t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
64400.w1 | 64400t1 | \([0, -1, 0, -4508, -228113]\) | \(-40535147776/67648175\) | \(-16912043750000\) | \([]\) | \(92160\) | \(1.2291\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64400t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 64400t do not have complex multiplication.Modular form 64400.2.a.t
sage: E.q_eigenform(10)