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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 377520.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
377520.t1 | 377520t1 | \([0, -1, 0, -128421, -27784755]\) | \(-32278933504/27421875\) | \(-198981731520000000\) | \([]\) | \(3998400\) | \(2.0169\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 377520.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 377520.t do not have complex multiplication.Modular form 377520.2.a.t
sage: E.q_eigenform(10)