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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 143745t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
143745.m1 | 143745t1 | \([0, -1, 1, -377331081, -2809239982819]\) | \(1235589508366336/5980078125\) | \(28755710217712832164453125\) | \([]\) | \(35804160\) | \(3.7336\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 143745t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 143745t do not have complex multiplication.Modular form 143745.2.a.t
sage: E.q_eigenform(10)