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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 14994x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14994.bh1 | 14994x1 | \([1, -1, 0, -971973, -377721387]\) | \(-1184052061112257/34349180544\) | \(-2945995974787549824\) | \([]\) | \(322560\) | \(2.3231\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14994x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14994x do not have complex multiplication.Modular form 14994.2.a.x
sage: E.q_eigenform(10)