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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 308898.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
308898.t1 | 308898t1 | \([1, -1, 0, -2551626, 3498456744]\) | \(-498677257/1145988\) | \(-4222166662147066783812\) | \([]\) | \(23063040\) | \(2.8380\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 308898.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 308898.t do not have complex multiplication.Modular form 308898.2.a.t
sage: E.q_eigenform(10)