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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 374790.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
374790.t1 | 374790t1 | \([1, 1, 0, -62356907, -189811440549]\) | \(-32716021186681/51333750\) | \(-42074593576800693333750\) | \([]\) | \(88089600\) | \(3.2397\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 374790.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 374790.t do not have complex multiplication.Modular form 374790.2.a.t
sage: E.q_eigenform(10)