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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 135240.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
135240.t1 | 135240bb1 | \([0, -1, 0, -9865, -374723]\) | \(-3525581824/9315\) | \(-280550511360\) | \([]\) | \(253440\) | \(1.0717\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 135240.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 135240.t do not have complex multiplication.Modular form 135240.2.a.t
sage: E.q_eigenform(10)