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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 142912.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
142912.a1 | 142912bd1 | \([0, 0, 0, -206512, 36123040]\) | \(-59448328887665664/2889812387\) | \(-47346686148608\) | \([]\) | \(2136064\) | \(1.6965\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142912.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 142912.a do not have complex multiplication.Modular form 142912.2.a.a
sage: E.q_eigenform(10)