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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 50430t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
50430.s1 | 50430t1 | \([1, 1, 1, -3229236, 17512933749]\) | \(-466393214209/16325867520\) | \(-130360831447735092049920\) | \([]\) | \(9849840\) | \(3.1157\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 50430t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 50430t do not have complex multiplication.Modular form 50430.2.a.t
sage: E.q_eigenform(10)