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SageMath
E = EllipticCurve("mk1")
E.isogeny_class()
Elliptic curves in class 705600.mk
sage: E.isogeny_class().curves
| LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
|---|---|---|---|---|---|---|
| 705600.mk1 | \([0, 0, 0, -308700, 129654000]\) | \(-3024/5\) | \(-5379251109120000000\) | \([]\) | \(10838016\) | \(2.2850\) |
Rank
sage: E.rank()
The elliptic curve 705600.mk1 has rank \(2\).
Complex multiplication
The elliptic curves in class 705600.mk do not have complex multiplication.Modular form 705600.2.a.mk
sage: E.q_eigenform(10)