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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 18515q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18515.b1 | 18515q1 | \([1, -1, 1, -732, 9714]\) | \(-81892654209/26796875\) | \(-14175546875\) | \([]\) | \(24192\) | \(0.66035\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18515q1 has rank \(2\).
Complex multiplication
The elliptic curves in class 18515q do not have complex multiplication.Modular form 18515.2.a.q
sage: E.q_eigenform(10)