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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 331200f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 331200.f1 | 331200f1 | \([0, 0, 0, 57750, 2623750]\) | \(1168724480/839523\) | \(-15300306675000000\) | \([]\) | \(2887680\) | \(1.7939\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331200f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 331200f do not have complex multiplication.Modular form 331200.2.a.f
sage: E.q_eigenform(10)