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SageMath
E = EllipticCurve("ea1")
E.isogeny_class()
Elliptic curves in class 70560ea
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70560.dw1 | 70560ea1 | \([0, 0, 0, -32907, -2297666]\) | \(-215474070728/3645\) | \(-66663959040\) | \([]\) | \(101376\) | \(1.2070\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70560ea1 has rank \(1\).
Complex multiplication
The elliptic curves in class 70560ea do not have complex multiplication.Modular form 70560.2.a.ea
sage: E.q_eigenform(10)