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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 355740t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
355740.t1 | 355740t1 | \([0, -1, 0, 21740, -7849400]\) | \(422576/10125\) | \(-27225292758048000\) | \([]\) | \(2509056\) | \(1.8338\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 355740t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 355740t do not have complex multiplication.Modular form 355740.2.a.t
sage: E.q_eigenform(10)