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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 30064a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30064.e1 | 30064a1 | \([0, 0, 0, -1031, 12742]\) | \(-473434325712/1879\) | \(-481024\) | \([]\) | \(6656\) | \(0.30222\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30064a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 30064a do not have complex multiplication.Modular form 30064.2.a.a
sage: E.q_eigenform(10)