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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 5775t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5775.a1 | 5775t1 | \([0, 1, 1, 207342, 36004844]\) | \(63090423356788736/72214645051395\) | \(-1128353828928046875\) | \([]\) | \(104832\) | \(2.1503\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5775t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5775t do not have complex multiplication.Modular form 5775.2.a.t
sage: E.q_eigenform(10)