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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 19074.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19074.t1 | 19074l1 | \([1, 1, 1, 572, -7375]\) | \(71608817375/128079468\) | \(-37014966252\) | \([]\) | \(16128\) | \(0.71269\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19074.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 19074.t do not have complex multiplication.Modular form 19074.2.a.t
sage: E.q_eigenform(10)