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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 145200.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
145200.a1 | 145200jm1 | \([0, -1, 0, -5978408, 3695727312]\) | \(28471058/9375\) | \(7781227380300000000000\) | \([]\) | \(13178880\) | \(2.9035\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145200.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 145200.a do not have complex multiplication.Modular form 145200.2.a.a
sage: E.q_eigenform(10)