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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 338130.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338130.a1 | 338130a1 | \([1, -1, 0, -323241930, -12416733402300]\) | \(-2541499591834369/43848960714000\) | \(-64443044021189382583267194000\) | \([]\) | \(423014400\) | \(4.2091\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338130.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 338130.a do not have complex multiplication.Modular form 338130.2.a.a
sage: E.q_eigenform(10)