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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 14994m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14994.j1 | 14994m1 | \([1, -1, 0, -450, -428]\) | \(5764801/3264\) | \(5713073856\) | \([]\) | \(11520\) | \(0.56213\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14994m1 has rank \(2\).
Complex multiplication
The elliptic curves in class 14994m do not have complex multiplication.Modular form 14994.2.a.m
sage: E.q_eigenform(10)