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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 102960.e
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 102960.e1 | 102960do1 | \([0, 0, 0, -56328528, 163873897328]\) | \(-6619442934477749579776/54525822852558915\) | \(-162813234624575279247360\) | \([]\) | \(16343040\) | \(3.2807\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102960.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 102960.e do not have complex multiplication.Modular form 102960.2.a.e
sage: E.q_eigenform(10)