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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 19074v
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 19074.n1 | 19074v1 | \([1, 1, 1, -4684339, 3901592177]\) | \(-39334245666480232823953/14521637786211072\) | \(-4196753320214999808\) | \([]\) | \(967680\) | \(2.5411\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19074v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 19074v do not have complex multiplication.Modular form 19074.2.a.v
sage: E.q_eigenform(10)