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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 30960.x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 30960.x1 | 30960bp1 | \([0, 0, 0, 1392, 70832]\) | \(99897344/783675\) | \(-2340041011200\) | \([]\) | \(61440\) | \(1.0549\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30960.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 30960.x do not have complex multiplication.Modular form 30960.2.a.x
sage: E.q_eigenform(10)