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SageMath
E = EllipticCurve("ea1")
E.isogeny_class()
Elliptic curves in class 115920.ea
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 115920.ea1 | 115920ex1 | \([0, 0, 0, 3312528, 4148356336]\) | \(1346216501445963776/3268768272021875\) | \(-9760489759964966400000\) | \([]\) | \(6864000\) | \(2.9033\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 115920.ea1 has rank \(1\).
Complex multiplication
The elliptic curves in class 115920.ea do not have complex multiplication.Modular form 115920.2.a.ea
sage: E.q_eigenform(10)