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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 7600.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7600.t1 | 7600g1 | \([0, 0, 0, -1675, -115750]\) | \(-16241202/171475\) | \(-5487200000000\) | \([]\) | \(23040\) | \(1.1266\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7600.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7600.t do not have complex multiplication.Modular form 7600.2.a.t
sage: E.q_eigenform(10)