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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 156702.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
156702.a1 | 156702ck1 | \([1, 1, 0, 7502561, -10505214971]\) | \(8101546090110598727/12963389814925056\) | \(-74731362568469777753856\) | \([]\) | \(22692096\) | \(3.0742\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 156702.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 156702.a do not have complex multiplication.Modular form 156702.2.a.a
sage: E.q_eigenform(10)