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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 122694.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
122694.d1 | 122694h1 | \([1, 1, 0, -94975806, 356224915116]\) | \(-49258558427/648\) | \(-1246395839798695456728\) | \([]\) | \(14826240\) | \(3.1919\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 122694.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 122694.d do not have complex multiplication.Modular form 122694.2.a.d
sage: E.q_eigenform(10)