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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 19950.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19950.t1 | 19950u1 | \([1, 0, 1, -3140376, 7656455398]\) | \(-219203980537177787761/1494018600480000000\) | \(-23344040632500000000000\) | \([]\) | \(1774080\) | \(2.9754\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19950.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 19950.t do not have complex multiplication.Modular form 19950.2.a.t
sage: E.q_eigenform(10)