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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 74529t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
74529.bb1 | 74529t1 | \([0, 0, 1, 7098, -5140431]\) | \(32768/9477\) | \(-11438067175687971\) | \([]\) | \(258048\) | \(1.7605\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 74529t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 74529t do not have complex multiplication.Modular form 74529.2.a.t
sage: E.q_eigenform(10)